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Finding the Fourth Proportional to 642.88, 963.60 and 514.72

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Solution

The fourth proportional to 642.88, 963.60 and 514.72 is: 771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.88 : 963.60 = 514.72 : x
  2. Step 2: Convert to fraction form
    642.88/963.60 = 514.72/x
  3. Step 3: Cross multiply
    642.88x = 963.60 × 514.72
  4. Step 4: Simplify right side
    642.88x = 495,984.19
  5. Step 5: Solve for x
    x = 495,984.19/642.88
  6. Step 6: Final answer
    x = 771.50

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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.