Home / 1,070.24-1,604.28-849.92

Finding the Fourth Proportional to 1,070.24, 1,604.28 and 849.92

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Solution

The fourth proportional to 1,070.24, 1,604.28 and 849.92 is: 1,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.24 : 1,604.28 = 849.92 : x
  2. Step 2: Convert to fraction form
    1,070.24/1,604.28 = 849.92/x
  3. Step 3: Cross multiply
    1,070.24x = 1,604.28 × 849.92
  4. Step 4: Simplify right side
    1,070.24x = 1,363,509.66
  5. Step 5: Solve for x
    x = 1,363,509.66/1,070.24
  6. Step 6: Final answer
    x = 1,274.02

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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.