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Finding the Fourth Proportional to 675.47, 932.55 and 443.00

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Solution

The fourth proportional to 675.47, 932.55 and 443.00 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 932.55 = 443.00 : x
  2. Step 2: Convert to fraction form
    675.47/932.55 = 443.00/x
  3. Step 3: Cross multiply
    675.47x = 932.55 × 443.00
  4. Step 4: Simplify right side
    675.47x = 413,121.98
  5. Step 5: Solve for x
    x = 413,121.98/675.47
  6. Step 6: Final answer
    x = 611.60

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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.