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Finding the Fourth Proportional to 717.48, 988.74 and 510.12

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Solution

The fourth proportional to 717.48, 988.74 and 510.12 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.48 : 988.74 = 510.12 : x
  2. Step 2: Convert to fraction form
    717.48/988.74 = 510.12/x
  3. Step 3: Cross multiply
    717.48x = 988.74 × 510.12
  4. Step 4: Simplify right side
    717.48x = 504,376.05
  5. Step 5: Solve for x
    x = 504,376.05/717.48
  6. Step 6: Final answer
    x = 702.98

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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.