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Finding the Fourth Proportional to 717.83, 990.82 and 469.19

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Solution

The fourth proportional to 717.83, 990.82 and 469.19 is: 647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.83 : 990.82 = 469.19 : x
  2. Step 2: Convert to fraction form
    717.83/990.82 = 469.19/x
  3. Step 3: Cross multiply
    717.83x = 990.82 × 469.19
  4. Step 4: Simplify right side
    717.83x = 464,881.66
  5. Step 5: Solve for x
    x = 464,881.66/717.83
  6. Step 6: Final answer
    x = 647.62

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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.