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Finding the Fourth Proportional to 675.69, 1,011.37 and 362.55

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Solution

The fourth proportional to 675.69, 1,011.37 and 362.55 is: 542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 1,011.37 = 362.55 : x
  2. Step 2: Convert to fraction form
    675.69/1,011.37 = 362.55/x
  3. Step 3: Cross multiply
    675.69x = 1,011.37 × 362.55
  4. Step 4: Simplify right side
    675.69x = 366,672.19
  5. Step 5: Solve for x
    x = 366,672.19/675.69
  6. Step 6: Final answer
    x = 542.66

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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.