Home / 1,298.57-1,948.23-557.78

Finding the Fourth Proportional to 1,298.57, 1,948.23 and 557.78

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Solution

The fourth proportional to 1,298.57, 1,948.23 and 557.78 is: 836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.57 : 1,948.23 = 557.78 : x
  2. Step 2: Convert to fraction form
    1,298.57/1,948.23 = 557.78/x
  3. Step 3: Cross multiply
    1,298.57x = 1,948.23 × 557.78
  4. Step 4: Simplify right side
    1,298.57x = 1,086,673.99
  5. Step 5: Solve for x
    x = 1,086,673.99/1,298.57
  6. Step 6: Final answer
    x = 836.83

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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.