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Finding the Fourth Proportional to 724.10, 999.36 and 429.37

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Solution

The fourth proportional to 724.10, 999.36 and 429.37 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 999.36 = 429.37 : x
  2. Step 2: Convert to fraction form
    724.10/999.36 = 429.37/x
  3. Step 3: Cross multiply
    724.10x = 999.36 × 429.37
  4. Step 4: Simplify right side
    724.10x = 429,093.30
  5. Step 5: Solve for x
    x = 429,093.30/724.10
  6. Step 6: Final answer
    x = 592.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.