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Finding the Fourth Proportional to 1,017.93, 1,404.66 and 686.80

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Solution

The fourth proportional to 1,017.93, 1,404.66 and 686.80 is: 947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.93 : 1,404.66 = 686.80 : x
  2. Step 2: Convert to fraction form
    1,017.93/1,404.66 = 686.80/x
  3. Step 3: Cross multiply
    1,017.93x = 1,404.66 × 686.80
  4. Step 4: Simplify right side
    1,017.93x = 964,720.49
  5. Step 5: Solve for x
    x = 964,720.49/1,017.93
  6. Step 6: Final answer
    x = 947.73

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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.