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Finding the Fourth Proportional to 766.40, 1,146.69 and 470.00

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Solution

The fourth proportional to 766.40, 1,146.69 and 470.00 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.40 : 1,146.69 = 470.00 : x
  2. Step 2: Convert to fraction form
    766.40/1,146.69 = 470.00/x
  3. Step 3: Cross multiply
    766.40x = 1,146.69 × 470.00
  4. Step 4: Simplify right side
    766.40x = 538,938.57
  5. Step 5: Solve for x
    x = 538,938.57/766.40
  6. Step 6: Final answer
    x = 703.21

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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.