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Finding the Fourth Proportional to 402.93, 603.66 and 387.93

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Solution

The fourth proportional to 402.93, 603.66 and 387.93 is: 581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.93 : 603.66 = 387.93 : x
  2. Step 2: Convert to fraction form
    402.93/603.66 = 387.93/x
  3. Step 3: Cross multiply
    402.93x = 603.66 × 387.93
  4. Step 4: Simplify right side
    402.93x = 234,177.82
  5. Step 5: Solve for x
    x = 234,177.82/402.93
  6. Step 6: Final answer
    x = 581.19

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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.