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Finding the Fourth Proportional to 675.47, 932.18 and 380.77

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Solution

The fourth proportional to 675.47, 932.18 and 380.77 is: 525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 932.18 = 380.77 : x
  2. Step 2: Convert to fraction form
    675.47/932.18 = 380.77/x
  3. Step 3: Cross multiply
    675.47x = 932.18 × 380.77
  4. Step 4: Simplify right side
    675.47x = 354,941.94
  5. Step 5: Solve for x
    x = 354,941.94/675.47
  6. Step 6: Final answer
    x = 525.47

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Half scale
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Double scale
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1.5x scale

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.