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Finding the Fourth Proportional to 689.42, 1,032.42 and 483.04

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Solution

The fourth proportional to 689.42, 1,032.42 and 483.04 is: 723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.42 : 1,032.42 = 483.04 : x
  2. Step 2: Convert to fraction form
    689.42/1,032.42 = 483.04/x
  3. Step 3: Cross multiply
    689.42x = 1,032.42 × 483.04
  4. Step 4: Simplify right side
    689.42x = 498,700.16
  5. Step 5: Solve for x
    x = 498,700.16/689.42
  6. Step 6: Final answer
    x = 723.36

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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.