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Finding the Fourth Proportional to 744.46, 1,024.32 and 595.15

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Solution

The fourth proportional to 744.46, 1,024.32 and 595.15 is: 818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.46 : 1,024.32 = 595.15 : x
  2. Step 2: Convert to fraction form
    744.46/1,024.32 = 595.15/x
  3. Step 3: Cross multiply
    744.46x = 1,024.32 × 595.15
  4. Step 4: Simplify right side
    744.46x = 609,624.05
  5. Step 5: Solve for x
    x = 609,624.05/744.46
  6. Step 6: Final answer
    x = 818.88

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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.