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Finding the Fourth Proportional to 1,153.86, 1,731.07 and 373.86

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Solution

The fourth proportional to 1,153.86, 1,731.07 and 373.86 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.86 : 1,731.07 = 373.86 : x
  2. Step 2: Convert to fraction form
    1,153.86/1,731.07 = 373.86/x
  3. Step 3: Cross multiply
    1,153.86x = 1,731.07 × 373.86
  4. Step 4: Simplify right side
    1,153.86x = 647,181.22
  5. Step 5: Solve for x
    x = 647,181.22/1,153.86
  6. Step 6: Final answer
    x = 560.88

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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.