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Finding the Fourth Proportional to 763, 1,139.03 and 646.66

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Solution

The fourth proportional to 763, 1,139.03 and 646.66 is: 965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    763 : 1,139.03 = 646.66 : x
  2. Step 2: Convert to fraction form
    763/1,139.03 = 646.66/x
  3. Step 3: Cross multiply
    763x = 1,139.03 × 646.66
  4. Step 4: Simplify right side
    763x = 736,565.14
  5. Step 5: Solve for x
    x = 736,565.14/763
  6. Step 6: Final answer
    x = 965.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.