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Finding the Fourth Proportional to 675.84, 932.40 and 413.76

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Solution

The fourth proportional to 675.84, 932.40 and 413.76 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 932.40 = 413.76 : x
  2. Step 2: Convert to fraction form
    675.84/932.40 = 413.76/x
  3. Step 3: Cross multiply
    675.84x = 932.40 × 413.76
  4. Step 4: Simplify right side
    675.84x = 385,789.82
  5. Step 5: Solve for x
    x = 385,789.82/675.84
  6. Step 6: Final answer
    x = 570.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.