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Finding the Fourth Proportional to 911.66, 1,258.09 and 497.66

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Solution

The fourth proportional to 911.66, 1,258.09 and 497.66 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.66 : 1,258.09 = 497.66 : x
  2. Step 2: Convert to fraction form
    911.66/1,258.09 = 497.66/x
  3. Step 3: Cross multiply
    911.66x = 1,258.09 × 497.66
  4. Step 4: Simplify right side
    911.66x = 626,098.58
  5. Step 5: Solve for x
    x = 626,098.58/911.66
  6. Step 6: Final answer
    x = 686.77

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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.