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Finding the Fourth Proportional to 615.50, 922.35 and 512.90

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Solution

The fourth proportional to 615.50, 922.35 and 512.90 is: 768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.50 : 922.35 = 512.90 : x
  2. Step 2: Convert to fraction form
    615.50/922.35 = 512.90/x
  3. Step 3: Cross multiply
    615.50x = 922.35 × 512.90
  4. Step 4: Simplify right side
    615.50x = 473,073.32
  5. Step 5: Solve for x
    x = 473,073.32/615.50
  6. Step 6: Final answer
    x = 768.60

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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.