Home / 1,126.28-1,688.45-477.47

Finding the Fourth Proportional to 1,126.28, 1,688.45 and 477.47

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Solution

The fourth proportional to 1,126.28, 1,688.45 and 477.47 is: 715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.28 : 1,688.45 = 477.47 : x
  2. Step 2: Convert to fraction form
    1,126.28/1,688.45 = 477.47/x
  3. Step 3: Cross multiply
    1,126.28x = 1,688.45 × 477.47
  4. Step 4: Simplify right side
    1,126.28x = 806,173.39
  5. Step 5: Solve for x
    x = 806,173.39/1,126.28
  6. Step 6: Final answer
    x = 715.79

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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.