Home / 1,432.27-2,147.49-507.66

Finding the Fourth Proportional to 1,432.27, 2,147.49 and 507.66

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Solution

The fourth proportional to 1,432.27, 2,147.49 and 507.66 is: 761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.27 : 2,147.49 = 507.66 : x
  2. Step 2: Convert to fraction form
    1,432.27/2,147.49 = 507.66/x
  3. Step 3: Cross multiply
    1,432.27x = 2,147.49 × 507.66
  4. Step 4: Simplify right side
    1,432.27x = 1,090,194.77
  5. Step 5: Solve for x
    x = 1,090,194.77/1,432.27
  6. Step 6: Final answer
    x = 761.17

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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.