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Finding the Fourth Proportional to 592.10, 887.84 and 407.28

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Solution

The fourth proportional to 592.10, 887.84 and 407.28 is: 610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.10 : 887.84 = 407.28 : x
  2. Step 2: Convert to fraction form
    592.10/887.84 = 407.28/x
  3. Step 3: Cross multiply
    592.10x = 887.84 × 407.28
  4. Step 4: Simplify right side
    592.10x = 361,599.48
  5. Step 5: Solve for x
    x = 361,599.48/592.10
  6. Step 6: Final answer
    x = 610.71

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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.