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Finding the Fourth Proportional to 675.48, 932.14 and 380.71

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Solution

The fourth proportional to 675.48, 932.14 and 380.71 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 932.14 = 380.71 : x
  2. Step 2: Convert to fraction form
    675.48/932.14 = 380.71/x
  3. Step 3: Cross multiply
    675.48x = 932.14 × 380.71
  4. Step 4: Simplify right side
    675.48x = 354,871.74
  5. Step 5: Solve for x
    x = 354,871.74/675.48
  6. Step 6: Final answer
    x = 525.36

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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.