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Finding the Fourth Proportional to 1,029.72, 1,420.02 and 781.32

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Solution

The fourth proportional to 1,029.72, 1,420.02 and 781.32 is: 1,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.72 : 1,420.02 = 781.32 : x
  2. Step 2: Convert to fraction form
    1,029.72/1,420.02 = 781.32/x
  3. Step 3: Cross multiply
    1,029.72x = 1,420.02 × 781.32
  4. Step 4: Simplify right side
    1,029.72x = 1,109,490.03
  5. Step 5: Solve for x
    x = 1,109,490.03/1,029.72
  6. Step 6: Final answer
    x = 1,077.47

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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.