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Finding the Fourth Proportional to 1,437.20, 1,982.70 and 847.48

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Solution

The fourth proportional to 1,437.20, 1,982.70 and 847.48 is: 1,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.20 : 1,982.70 = 847.48 : x
  2. Step 2: Convert to fraction form
    1,437.20/1,982.70 = 847.48/x
  3. Step 3: Cross multiply
    1,437.20x = 1,982.70 × 847.48
  4. Step 4: Simplify right side
    1,437.20x = 1,680,298.60
  5. Step 5: Solve for x
    x = 1,680,298.60/1,437.20
  6. Step 6: Final answer
    x = 1,169.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.