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Finding the Fourth Proportional to 592.50, 888.96 and 429.90

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Solution

The fourth proportional to 592.50, 888.96 and 429.90 is: 645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.50 : 888.96 = 429.90 : x
  2. Step 2: Convert to fraction form
    592.50/888.96 = 429.90/x
  3. Step 3: Cross multiply
    592.50x = 888.96 × 429.90
  4. Step 4: Simplify right side
    592.50x = 382,163.90
  5. Step 5: Solve for x
    x = 382,163.90/592.50
  6. Step 6: Final answer
    x = 645.00

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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.