Home / 1,407.27-2,109.76-586.16

Finding the Fourth Proportional to 1,407.27, 2,109.76 and 586.16

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Solution

The fourth proportional to 1,407.27, 2,109.76 and 586.16 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.27 : 2,109.76 = 586.16 : x
  2. Step 2: Convert to fraction form
    1,407.27/2,109.76 = 586.16/x
  3. Step 3: Cross multiply
    1,407.27x = 2,109.76 × 586.16
  4. Step 4: Simplify right side
    1,407.27x = 1,236,655.02
  5. Step 5: Solve for x
    x = 1,236,655.02/1,407.27
  6. Step 6: Final answer
    x = 878.76

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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.