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Finding the Fourth Proportional to 715.46, 987.12 and 416.57

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Solution

The fourth proportional to 715.46, 987.12 and 416.57 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.46 : 987.12 = 416.57 : x
  2. Step 2: Convert to fraction form
    715.46/987.12 = 416.57/x
  3. Step 3: Cross multiply
    715.46x = 987.12 × 416.57
  4. Step 4: Simplify right side
    715.46x = 411,199.64
  5. Step 5: Solve for x
    x = 411,199.64/715.46
  6. Step 6: Final answer
    x = 574.74

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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.