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Finding the Fourth Proportional to 1,626.08, 2,437.60 and 652.84

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Solution

The fourth proportional to 1,626.08, 2,437.60 and 652.84 is: 978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.08 : 2,437.60 = 652.84 : x
  2. Step 2: Convert to fraction form
    1,626.08/2,437.60 = 652.84/x
  3. Step 3: Cross multiply
    1,626.08x = 2,437.60 × 652.84
  4. Step 4: Simplify right side
    1,626.08x = 1,591,362.78
  5. Step 5: Solve for x
    x = 1,591,362.78/1,626.08
  6. Step 6: Final answer
    x = 978.65

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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.