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Finding the Fourth Proportional to 715.12, 987.27 and 494.40

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Solution

The fourth proportional to 715.12, 987.27 and 494.40 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.12 : 987.27 = 494.40 : x
  2. Step 2: Convert to fraction form
    715.12/987.27 = 494.40/x
  3. Step 3: Cross multiply
    715.12x = 987.27 × 494.40
  4. Step 4: Simplify right side
    715.12x = 488,106.29
  5. Step 5: Solve for x
    x = 488,106.29/715.12
  6. Step 6: Final answer
    x = 682.55

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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.