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Finding the Fourth Proportional to 1,651.61, 2,476.06 and 610.95

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Solution

The fourth proportional to 1,651.61, 2,476.06 and 610.95 is: 915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.61 : 2,476.06 = 610.95 : x
  2. Step 2: Convert to fraction form
    1,651.61/2,476.06 = 610.95/x
  3. Step 3: Cross multiply
    1,651.61x = 2,476.06 × 610.95
  4. Step 4: Simplify right side
    1,651.61x = 1,512,748.86
  5. Step 5: Solve for x
    x = 1,512,748.86/1,651.61
  6. Step 6: Final answer
    x = 915.92

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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.