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Finding the Fourth Proportional to 1,281.12, 1,922.76 and 632.04

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Solution

The fourth proportional to 1,281.12, 1,922.76 and 632.04 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.12 : 1,922.76 = 632.04 : x
  2. Step 2: Convert to fraction form
    1,281.12/1,922.76 = 632.04/x
  3. Step 3: Cross multiply
    1,281.12x = 1,922.76 × 632.04
  4. Step 4: Simplify right side
    1,281.12x = 1,215,261.23
  5. Step 5: Solve for x
    x = 1,215,261.23/1,281.12
  6. Step 6: Final answer
    x = 948.59

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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.