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Finding the Fourth Proportional to 841.52, 1,264.98 and 781.40

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Solution

The fourth proportional to 841.52, 1,264.98 and 781.40 is: 1,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.52 : 1,264.98 = 781.40 : x
  2. Step 2: Convert to fraction form
    841.52/1,264.98 = 781.40/x
  3. Step 3: Cross multiply
    841.52x = 1,264.98 × 781.40
  4. Step 4: Simplify right side
    841.52x = 988,455.37
  5. Step 5: Solve for x
    x = 988,455.37/841.52
  6. Step 6: Final answer
    x = 1,174.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.