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Finding the Fourth Proportional to 1,948.32, 2,922.16 and 580

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Solution

The fourth proportional to 1,948.32, 2,922.16 and 580 is: 869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.32 : 2,922.16 = 580 : x
  2. Step 2: Convert to fraction form
    1,948.32/2,922.16 = 580/x
  3. Step 3: Cross multiply
    1,948.32x = 2,922.16 × 580
  4. Step 4: Simplify right side
    1,948.32x = 1,694,852.80
  5. Step 5: Solve for x
    x = 1,694,852.80/1,948.32
  6. Step 6: Final answer
    x = 869.90

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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.