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Finding the Fourth Proportional to 1,154.88, 1,730.88 and 577.92

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Solution

The fourth proportional to 1,154.88, 1,730.88 and 577.92 is: 866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.88 : 1,730.88 = 577.92 : x
  2. Step 2: Convert to fraction form
    1,154.88/1,730.88 = 577.92/x
  3. Step 3: Cross multiply
    1,154.88x = 1,730.88 × 577.92
  4. Step 4: Simplify right side
    1,154.88x = 1,000,310.17
  5. Step 5: Solve for x
    x = 1,000,310.17/1,154.88
  6. Step 6: Final answer
    x = 866.16

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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.