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Finding the Fourth Proportional to 2,319.57, 3,479.31 and 588.20

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Solution

The fourth proportional to 2,319.57, 3,479.31 and 588.20 is: 882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.57 : 3,479.31 = 588.20 : x
  2. Step 2: Convert to fraction form
    2,319.57/3,479.31 = 588.20/x
  3. Step 3: Cross multiply
    2,319.57x = 3,479.31 × 588.20
  4. Step 4: Simplify right side
    2,319.57x = 2,046,512.75
  5. Step 5: Solve for x
    x = 2,046,512.75/2,319.57
  6. Step 6: Final answer
    x = 882.28

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1.5x scale

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.