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Finding the Fourth Proportional to 705.66, 1,053.99 and 686.22

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Solution

The fourth proportional to 705.66, 1,053.99 and 686.22 is: 1,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 1,053.99 = 686.22 : x
  2. Step 2: Convert to fraction form
    705.66/1,053.99 = 686.22/x
  3. Step 3: Cross multiply
    705.66x = 1,053.99 × 686.22
  4. Step 4: Simplify right side
    705.66x = 723,269.02
  5. Step 5: Solve for x
    x = 723,269.02/705.66
  6. Step 6: Final answer
    x = 1,024.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.