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Finding the Fourth Proportional to 1,627.35, 2,439.59 and 652.79

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Solution

The fourth proportional to 1,627.35, 2,439.59 and 652.79 is: 978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.35 : 2,439.59 = 652.79 : x
  2. Step 2: Convert to fraction form
    1,627.35/2,439.59 = 652.79/x
  3. Step 3: Cross multiply
    1,627.35x = 2,439.59 × 652.79
  4. Step 4: Simplify right side
    1,627.35x = 1,592,524.49
  5. Step 5: Solve for x
    x = 1,592,524.49/1,627.35
  6. Step 6: Final answer
    x = 978.60

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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.