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Finding the Fourth Proportional to 675.90, 932.05 and 466.09

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Solution

The fourth proportional to 675.90, 932.05 and 466.09 is: 642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 932.05 = 466.09 : x
  2. Step 2: Convert to fraction form
    675.90/932.05 = 466.09/x
  3. Step 3: Cross multiply
    675.90x = 932.05 × 466.09
  4. Step 4: Simplify right side
    675.90x = 434,419.18
  5. Step 5: Solve for x
    x = 434,419.18/675.90
  6. Step 6: Final answer
    x = 642.73

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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.