Home / 1,004.30-1,385.75-562.20

Finding the Fourth Proportional to 1,004.30, 1,385.75 and 562.20

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Solution

The fourth proportional to 1,004.30, 1,385.75 and 562.20 is: 775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.30 : 1,385.75 = 562.20 : x
  2. Step 2: Convert to fraction form
    1,004.30/1,385.75 = 562.20/x
  3. Step 3: Cross multiply
    1,004.30x = 1,385.75 × 562.20
  4. Step 4: Simplify right side
    1,004.30x = 779,065.84
  5. Step 5: Solve for x
    x = 779,065.84/1,004.30
  6. Step 6: Final answer
    x = 775.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.