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Finding the Fourth Proportional to 1,432.68, 1,977.03 and 803.13

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Solution

The fourth proportional to 1,432.68, 1,977.03 and 803.13 is: 1,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.68 : 1,977.03 = 803.13 : x
  2. Step 2: Convert to fraction form
    1,432.68/1,977.03 = 803.13/x
  3. Step 3: Cross multiply
    1,432.68x = 1,977.03 × 803.13
  4. Step 4: Simplify right side
    1,432.68x = 1,587,812.10
  5. Step 5: Solve for x
    x = 1,587,812.10/1,432.68
  6. Step 6: Final answer
    x = 1,108.28

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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.