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Finding the Fourth Proportional to 940.69, 1,298.22 and 542.49

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Solution

The fourth proportional to 940.69, 1,298.22 and 542.49 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.69 : 1,298.22 = 542.49 : x
  2. Step 2: Convert to fraction form
    940.69/1,298.22 = 542.49/x
  3. Step 3: Cross multiply
    940.69x = 1,298.22 × 542.49
  4. Step 4: Simplify right side
    940.69x = 704,271.37
  5. Step 5: Solve for x
    x = 704,271.37/940.69
  6. Step 6: Final answer
    x = 748.68

Related Problems

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Half scale
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Double scale
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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.