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Finding the Fourth Proportional to 1,129.95, 1,559.30 and 632.55

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Solution

The fourth proportional to 1,129.95, 1,559.30 and 632.55 is: 872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.95 : 1,559.30 = 632.55 : x
  2. Step 2: Convert to fraction form
    1,129.95/1,559.30 = 632.55/x
  3. Step 3: Cross multiply
    1,129.95x = 1,559.30 × 632.55
  4. Step 4: Simplify right side
    1,129.95x = 986,324.26
  5. Step 5: Solve for x
    x = 986,324.26/1,129.95
  6. Step 6: Final answer
    x = 872.90

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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.