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Finding the Fourth Proportional to 1,017.90, 1,404.75 and 686.70

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Solution

The fourth proportional to 1,017.90, 1,404.75 and 686.70 is: 947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.90 : 1,404.75 = 686.70 : x
  2. Step 2: Convert to fraction form
    1,017.90/1,404.75 = 686.70/x
  3. Step 3: Cross multiply
    1,017.90x = 1,404.75 × 686.70
  4. Step 4: Simplify right side
    1,017.90x = 964,641.83
  5. Step 5: Solve for x
    x = 964,641.83/1,017.90
  6. Step 6: Final answer
    x = 947.68

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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.