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Finding the Fourth Proportional to 763.00, 1,142.90 and 632.69

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Solution

The fourth proportional to 763.00, 1,142.90 and 632.69 is: 947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.00 : 1,142.90 = 632.69 : x
  2. Step 2: Convert to fraction form
    763.00/1,142.90 = 632.69/x
  3. Step 3: Cross multiply
    763.00x = 1,142.90 × 632.69
  4. Step 4: Simplify right side
    763.00x = 723,101.40
  5. Step 5: Solve for x
    x = 723,101.40/763.00
  6. Step 6: Final answer
    x = 947.71

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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.