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Finding the Fourth Proportional to 1,124.80, 1,687.08 and 431.76

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Solution

The fourth proportional to 1,124.80, 1,687.08 and 431.76 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.80 : 1,687.08 = 431.76 : x
  2. Step 2: Convert to fraction form
    1,124.80/1,687.08 = 431.76/x
  3. Step 3: Cross multiply
    1,124.80x = 1,687.08 × 431.76
  4. Step 4: Simplify right side
    1,124.80x = 728,413.66
  5. Step 5: Solve for x
    x = 728,413.66/1,124.80
  6. Step 6: Final answer
    x = 647.59

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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.