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Finding the Fourth Proportional to 871.95, 1,306.86 and 610.53

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Solution

The fourth proportional to 871.95, 1,306.86 and 610.53 is: 915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.95 : 1,306.86 = 610.53 : x
  2. Step 2: Convert to fraction form
    871.95/1,306.86 = 610.53/x
  3. Step 3: Cross multiply
    871.95x = 1,306.86 × 610.53
  4. Step 4: Simplify right side
    871.95x = 797,877.24
  5. Step 5: Solve for x
    x = 797,877.24/871.95
  6. Step 6: Final answer
    x = 915.05

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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.