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Finding the Fourth Proportional to 1,042.30, 1,563 and 311.86

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Solution

The fourth proportional to 1,042.30, 1,563 and 311.86 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.30 : 1,563 = 311.86 : x
  2. Step 2: Convert to fraction form
    1,042.30/1,563 = 311.86/x
  3. Step 3: Cross multiply
    1,042.30x = 1,563 × 311.86
  4. Step 4: Simplify right side
    1,042.30x = 487,437.18
  5. Step 5: Solve for x
    x = 487,437.18/1,042.30
  6. Step 6: Final answer
    x = 467.66

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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.