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Finding the Fourth Proportional to 1,233.13, 1,702.41 and 814.69

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Solution

The fourth proportional to 1,233.13, 1,702.41 and 814.69 is: 1,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.13 : 1,702.41 = 814.69 : x
  2. Step 2: Convert to fraction form
    1,233.13/1,702.41 = 814.69/x
  3. Step 3: Cross multiply
    1,233.13x = 1,702.41 × 814.69
  4. Step 4: Simplify right side
    1,233.13x = 1,386,941.17
  5. Step 5: Solve for x
    x = 1,386,941.17/1,233.13
  6. Step 6: Final answer
    x = 1,124.74

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1.5x scale

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.