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Finding the Fourth Proportional to 1,602.97, 2,404.84 and 781.06

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Solution

The fourth proportional to 1,602.97, 2,404.84 and 781.06 is: 1,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.97 : 2,404.84 = 781.06 : x
  2. Step 2: Convert to fraction form
    1,602.97/2,404.84 = 781.06/x
  3. Step 3: Cross multiply
    1,602.97x = 2,404.84 × 781.06
  4. Step 4: Simplify right side
    1,602.97x = 1,878,312.31
  5. Step 5: Solve for x
    x = 1,878,312.31/1,602.97
  6. Step 6: Final answer
    x = 1,171.77

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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.