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Finding the Fourth Proportional to 1,029.52, 1,420.04 and 735.12

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Solution

The fourth proportional to 1,029.52, 1,420.04 and 735.12 is: 1,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.52 : 1,420.04 = 735.12 : x
  2. Step 2: Convert to fraction form
    1,029.52/1,420.04 = 735.12/x
  3. Step 3: Cross multiply
    1,029.52x = 1,420.04 × 735.12
  4. Step 4: Simplify right side
    1,029.52x = 1,043,899.80
  5. Step 5: Solve for x
    x = 1,043,899.80/1,029.52
  6. Step 6: Final answer
    x = 1,013.97

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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.