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Finding the Fourth Proportional to 2,955.14, 4,432.66 and 763.86

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Solution

The fourth proportional to 2,955.14, 4,432.66 and 763.86 is: 1,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.14 : 4,432.66 = 763.86 : x
  2. Step 2: Convert to fraction form
    2,955.14/4,432.66 = 763.86/x
  3. Step 3: Cross multiply
    2,955.14x = 4,432.66 × 763.86
  4. Step 4: Simplify right side
    2,955.14x = 3,385,931.67
  5. Step 5: Solve for x
    x = 3,385,931.67/2,955.14
  6. Step 6: Final answer
    x = 1,145.78

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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.