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Finding the Fourth Proportional to 1,432.50, 2,147.90 and 610.35

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Solution

The fourth proportional to 1,432.50, 2,147.90 and 610.35 is: 915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.50 : 2,147.90 = 610.35 : x
  2. Step 2: Convert to fraction form
    1,432.50/2,147.90 = 610.35/x
  3. Step 3: Cross multiply
    1,432.50x = 2,147.90 × 610.35
  4. Step 4: Simplify right side
    1,432.50x = 1,310,970.77
  5. Step 5: Solve for x
    x = 1,310,970.77/1,432.50
  6. Step 6: Final answer
    x = 915.16

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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.