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Finding the Fourth Proportional to 675.45, 932.64 and 545.04

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Solution

The fourth proportional to 675.45, 932.64 and 545.04 is: 752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.45 : 932.64 = 545.04 : x
  2. Step 2: Convert to fraction form
    675.45/932.64 = 545.04/x
  3. Step 3: Cross multiply
    675.45x = 932.64 × 545.04
  4. Step 4: Simplify right side
    675.45x = 508,326.11
  5. Step 5: Solve for x
    x = 508,326.11/675.45
  6. Step 6: Final answer
    x = 752.57

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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.