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Finding the Fourth Proportional to 715.89, 988.14 and 454.08

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Solution

The fourth proportional to 715.89, 988.14 and 454.08 is: 626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.89 : 988.14 = 454.08 : x
  2. Step 2: Convert to fraction form
    715.89/988.14 = 454.08/x
  3. Step 3: Cross multiply
    715.89x = 988.14 × 454.08
  4. Step 4: Simplify right side
    715.89x = 448,694.61
  5. Step 5: Solve for x
    x = 448,694.61/715.89
  6. Step 6: Final answer
    x = 626.76

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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.