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Finding the Fourth Proportional to 715.76, 988.44 and 520.31

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Solution

The fourth proportional to 715.76, 988.44 and 520.31 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 988.44 = 520.31 : x
  2. Step 2: Convert to fraction form
    715.76/988.44 = 520.31/x
  3. Step 3: Cross multiply
    715.76x = 988.44 × 520.31
  4. Step 4: Simplify right side
    715.76x = 514,295.22
  5. Step 5: Solve for x
    x = 514,295.22/715.76
  6. Step 6: Final answer
    x = 718.53

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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.