Home / 1,298.74-1,948.11-519.16

Finding the Fourth Proportional to 1,298.74, 1,948.11 and 519.16

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Solution

The fourth proportional to 1,298.74, 1,948.11 and 519.16 is: 778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.74 : 1,948.11 = 519.16 : x
  2. Step 2: Convert to fraction form
    1,298.74/1,948.11 = 519.16/x
  3. Step 3: Cross multiply
    1,298.74x = 1,948.11 × 519.16
  4. Step 4: Simplify right side
    1,298.74x = 1,011,380.79
  5. Step 5: Solve for x
    x = 1,011,380.79/1,298.74
  6. Step 6: Final answer
    x = 778.74

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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.