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Finding the Fourth Proportional to 938.17, 1,406.53 and 567.89

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Solution

The fourth proportional to 938.17, 1,406.53 and 567.89 is: 851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.17 : 1,406.53 = 567.89 : x
  2. Step 2: Convert to fraction form
    938.17/1,406.53 = 567.89/x
  3. Step 3: Cross multiply
    938.17x = 1,406.53 × 567.89
  4. Step 4: Simplify right side
    938.17x = 798,754.32
  5. Step 5: Solve for x
    x = 798,754.32/938.17
  6. Step 6: Final answer
    x = 851.40

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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.