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Finding the Fourth Proportional to 670.95, 1,000.52 and 617.76

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Solution

The fourth proportional to 670.95, 1,000.52 and 617.76 is: 921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.95 : 1,000.52 = 617.76 : x
  2. Step 2: Convert to fraction form
    670.95/1,000.52 = 617.76/x
  3. Step 3: Cross multiply
    670.95x = 1,000.52 × 617.76
  4. Step 4: Simplify right side
    670.95x = 618,080.46
  5. Step 5: Solve for x
    x = 618,080.46/670.95
  6. Step 6: Final answer
    x = 921.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.