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Finding the Fourth Proportional to 715.76, 1,073.88 and 587.60

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Solution

The fourth proportional to 715.76, 1,073.88 and 587.60 is: 881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 1,073.88 = 587.60 : x
  2. Step 2: Convert to fraction form
    715.76/1,073.88 = 587.60/x
  3. Step 3: Cross multiply
    715.76x = 1,073.88 × 587.60
  4. Step 4: Simplify right side
    715.76x = 631,011.89
  5. Step 5: Solve for x
    x = 631,011.89/715.76
  6. Step 6: Final answer
    x = 881.60

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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.