Home / 1,126.42-1,688.96-432.95

Finding the Fourth Proportional to 1,126.42, 1,688.96 and 432.95

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Solution

The fourth proportional to 1,126.42, 1,688.96 and 432.95 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.42 : 1,688.96 = 432.95 : x
  2. Step 2: Convert to fraction form
    1,126.42/1,688.96 = 432.95/x
  3. Step 3: Cross multiply
    1,126.42x = 1,688.96 × 432.95
  4. Step 4: Simplify right side
    1,126.42x = 731,240.54
  5. Step 5: Solve for x
    x = 731,240.54/1,126.42
  6. Step 6: Final answer
    x = 649.17

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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.