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Finding the Fourth Proportional to 1,378.96, 2,069.12 and 557.80

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Solution

The fourth proportional to 1,378.96, 2,069.12 and 557.80 is: 836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.96 : 2,069.12 = 557.80 : x
  2. Step 2: Convert to fraction form
    1,378.96/2,069.12 = 557.80/x
  3. Step 3: Cross multiply
    1,378.96x = 2,069.12 × 557.80
  4. Step 4: Simplify right side
    1,378.96x = 1,154,155.14
  5. Step 5: Solve for x
    x = 1,154,155.14/1,378.96
  6. Step 6: Final answer
    x = 836.98

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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.