Home / 1,780.28-2,670.24-547.70

Finding the Fourth Proportional to 1,780.28, 2,670.24 and 547.70

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Solution

The fourth proportional to 1,780.28, 2,670.24 and 547.70 is: 821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.28 : 2,670.24 = 547.70 : x
  2. Step 2: Convert to fraction form
    1,780.28/2,670.24 = 547.70/x
  3. Step 3: Cross multiply
    1,780.28x = 2,670.24 × 547.70
  4. Step 4: Simplify right side
    1,780.28x = 1,462,490.45
  5. Step 5: Solve for x
    x = 1,462,490.45/1,780.28
  6. Step 6: Final answer
    x = 821.49

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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.