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Finding the Fourth Proportional to 717.07, 988.77 and 468.40

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Solution

The fourth proportional to 717.07, 988.77 and 468.40 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.07 : 988.77 = 468.40 : x
  2. Step 2: Convert to fraction form
    717.07/988.77 = 468.40/x
  3. Step 3: Cross multiply
    717.07x = 988.77 × 468.40
  4. Step 4: Simplify right side
    717.07x = 463,139.87
  5. Step 5: Solve for x
    x = 463,139.87/717.07
  6. Step 6: Final answer
    x = 645.88

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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.