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Finding the Fourth Proportional to 641.84, 962.76 and 514.40

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Solution

The fourth proportional to 641.84, 962.76 and 514.40 is: 771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.84 : 962.76 = 514.40 : x
  2. Step 2: Convert to fraction form
    641.84/962.76 = 514.40/x
  3. Step 3: Cross multiply
    641.84x = 962.76 × 514.40
  4. Step 4: Simplify right side
    641.84x = 495,243.74
  5. Step 5: Solve for x
    x = 495,243.74/641.84
  6. Step 6: Final answer
    x = 771.60

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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.