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Finding the Fourth Proportional to 1,154.01, 1,729.57 and 577.05

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Solution

The fourth proportional to 1,154.01, 1,729.57 and 577.05 is: 864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.01 : 1,729.57 = 577.05 : x
  2. Step 2: Convert to fraction form
    1,154.01/1,729.57 = 577.05/x
  3. Step 3: Cross multiply
    1,154.01x = 1,729.57 × 577.05
  4. Step 4: Simplify right side
    1,154.01x = 998,038.28
  5. Step 5: Solve for x
    x = 998,038.28/1,154.01
  6. Step 6: Final answer
    x = 864.85

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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.