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Finding the Fourth Proportional to 1,017.60, 1,404.96 and 686.48

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Solution

The fourth proportional to 1,017.60, 1,404.96 and 686.48 is: 947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.60 : 1,404.96 = 686.48 : x
  2. Step 2: Convert to fraction form
    1,017.60/1,404.96 = 686.48/x
  3. Step 3: Cross multiply
    1,017.60x = 1,404.96 × 686.48
  4. Step 4: Simplify right side
    1,017.60x = 964,476.94
  5. Step 5: Solve for x
    x = 964,476.94/1,017.60
  6. Step 6: Final answer
    x = 947.80

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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.