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Finding the Fourth Proportional to 689.00, 1,032.47 and 630.27

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Solution

The fourth proportional to 689.00, 1,032.47 and 630.27 is: 944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.00 : 1,032.47 = 630.27 : x
  2. Step 2: Convert to fraction form
    689.00/1,032.47 = 630.27/x
  3. Step 3: Cross multiply
    689.00x = 1,032.47 × 630.27
  4. Step 4: Simplify right side
    689.00x = 650,731.72
  5. Step 5: Solve for x
    x = 650,731.72/689.00
  6. Step 6: Final answer
    x = 944.47

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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.