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Finding the Fourth Proportional to 592.80, 887.58 and 409.74

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Solution

The fourth proportional to 592.80, 887.58 and 409.74 is: 613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.80 : 887.58 = 409.74 : x
  2. Step 2: Convert to fraction form
    592.80/887.58 = 409.74/x
  3. Step 3: Cross multiply
    592.80x = 887.58 × 409.74
  4. Step 4: Simplify right side
    592.80x = 363,677.03
  5. Step 5: Solve for x
    x = 363,677.03/592.80
  6. Step 6: Final answer
    x = 613.49

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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.