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Finding the Fourth Proportional to 717.65, 990.76 and 469.22

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Solution

The fourth proportional to 717.65, 990.76 and 469.22 is: 647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.65 : 990.76 = 469.22 : x
  2. Step 2: Convert to fraction form
    717.65/990.76 = 469.22/x
  3. Step 3: Cross multiply
    717.65x = 990.76 × 469.22
  4. Step 4: Simplify right side
    717.65x = 464,880.63
  5. Step 5: Solve for x
    x = 464,880.63/717.65
  6. Step 6: Final answer
    x = 647.78

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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.