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Finding the Fourth Proportional to 1,027.79, 1,542.35 and 753.04

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Solution

The fourth proportional to 1,027.79, 1,542.35 and 753.04 is: 1,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.79 : 1,542.35 = 753.04 : x
  2. Step 2: Convert to fraction form
    1,027.79/1,542.35 = 753.04/x
  3. Step 3: Cross multiply
    1,027.79x = 1,542.35 × 753.04
  4. Step 4: Simplify right side
    1,027.79x = 1,161,443.53
  5. Step 5: Solve for x
    x = 1,161,443.53/1,027.79
  6. Step 6: Final answer
    x = 1,130.05

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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.