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Finding the Fourth Proportional to 940.38, 1,297.77 and 542.10

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Solution

The fourth proportional to 940.38, 1,297.77 and 542.10 is: 748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.38 : 1,297.77 = 542.10 : x
  2. Step 2: Convert to fraction form
    940.38/1,297.77 = 542.10/x
  3. Step 3: Cross multiply
    940.38x = 1,297.77 × 542.10
  4. Step 4: Simplify right side
    940.38x = 703,518.41
  5. Step 5: Solve for x
    x = 703,518.41/940.38
  6. Step 6: Final answer
    x = 748.13

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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.