Home / 760.20-1,140.27-349.23

Finding the Fourth Proportional to 760.20, 1,140.27 and 349.23

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Solution

The fourth proportional to 760.20, 1,140.27 and 349.23 is: 523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,140.27 = 349.23 : x
  2. Step 2: Convert to fraction form
    760.20/1,140.27 = 349.23/x
  3. Step 3: Cross multiply
    760.20x = 1,140.27 × 349.23
  4. Step 4: Simplify right side
    760.20x = 398,216.49
  5. Step 5: Solve for x
    x = 398,216.49/760.20
  6. Step 6: Final answer
    x = 523.83

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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.