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Finding the Fourth Proportional to 670.93, 926.20 and 505.20

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Solution

The fourth proportional to 670.93, 926.20 and 505.20 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.93 : 926.20 = 505.20 : x
  2. Step 2: Convert to fraction form
    670.93/926.20 = 505.20/x
  3. Step 3: Cross multiply
    670.93x = 926.20 × 505.20
  4. Step 4: Simplify right side
    670.93x = 467,920.34
  5. Step 5: Solve for x
    x = 467,920.34/670.93
  6. Step 6: Final answer
    x = 697.42

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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.