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Finding the Fourth Proportional to 763.93, 1,146.30 and 456.38

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Solution

The fourth proportional to 763.93, 1,146.30 and 456.38 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.93 : 1,146.30 = 456.38 : x
  2. Step 2: Convert to fraction form
    763.93/1,146.30 = 456.38/x
  3. Step 3: Cross multiply
    763.93x = 1,146.30 × 456.38
  4. Step 4: Simplify right side
    763.93x = 523,146.11
  5. Step 5: Solve for x
    x = 523,146.11/763.93
  6. Step 6: Final answer
    x = 684.81

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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.