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Finding the Fourth Proportional to 862.90, 1,295.01 and 632.38

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Solution

The fourth proportional to 862.90, 1,295.01 and 632.38 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.90 : 1,295.01 = 632.38 : x
  2. Step 2: Convert to fraction form
    862.90/1,295.01 = 632.38/x
  3. Step 3: Cross multiply
    862.90x = 1,295.01 × 632.38
  4. Step 4: Simplify right side
    862.90x = 818,943.04
  5. Step 5: Solve for x
    x = 818,943.04/862.90
  6. Step 6: Final answer
    x = 949.06

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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.