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Finding the Fourth Proportional to 938.12, 1,294.62 and 524.12

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Solution

The fourth proportional to 938.12, 1,294.62 and 524.12 is: 723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.12 : 1,294.62 = 524.12 : x
  2. Step 2: Convert to fraction form
    938.12/1,294.62 = 524.12/x
  3. Step 3: Cross multiply
    938.12x = 1,294.62 × 524.12
  4. Step 4: Simplify right side
    938.12x = 678,536.23
  5. Step 5: Solve for x
    x = 678,536.23/938.12
  6. Step 6: Final answer
    x = 723.29

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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.