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Finding the Fourth Proportional to 584.32, 875.12 and 411.16

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Solution

The fourth proportional to 584.32, 875.12 and 411.16 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 875.12 = 411.16 : x
  2. Step 2: Convert to fraction form
    584.32/875.12 = 411.16/x
  3. Step 3: Cross multiply
    584.32x = 875.12 × 411.16
  4. Step 4: Simplify right side
    584.32x = 359,814.34
  5. Step 5: Solve for x
    x = 359,814.34/584.32
  6. Step 6: Final answer
    x = 615.78

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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.