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Finding the Fourth Proportional to 938.17, 1,407.25 and 383.11

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Solution

The fourth proportional to 938.17, 1,407.25 and 383.11 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.17 : 1,407.25 = 383.11 : x
  2. Step 2: Convert to fraction form
    938.17/1,407.25 = 383.11/x
  3. Step 3: Cross multiply
    938.17x = 1,407.25 × 383.11
  4. Step 4: Simplify right side
    938.17x = 539,128.51
  5. Step 5: Solve for x
    x = 539,128.51/938.17
  6. Step 6: Final answer
    x = 574.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.