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Finding the Fourth Proportional to 749.69, 1,034.30 and 469.94

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Solution

The fourth proportional to 749.69, 1,034.30 and 469.94 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.69 : 1,034.30 = 469.94 : x
  2. Step 2: Convert to fraction form
    749.69/1,034.30 = 469.94/x
  3. Step 3: Cross multiply
    749.69x = 1,034.30 × 469.94
  4. Step 4: Simplify right side
    749.69x = 486,055.12
  5. Step 5: Solve for x
    x = 486,055.12/749.69
  6. Step 6: Final answer
    x = 648.34

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.