Home / 1,126.32-1,688.31-577.28

Finding the Fourth Proportional to 1,126.32, 1,688.31 and 577.28

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Solution

The fourth proportional to 1,126.32, 1,688.31 and 577.28 is: 865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.32 : 1,688.31 = 577.28 : x
  2. Step 2: Convert to fraction form
    1,126.32/1,688.31 = 577.28/x
  3. Step 3: Cross multiply
    1,126.32x = 1,688.31 × 577.28
  4. Step 4: Simplify right side
    1,126.32x = 974,619.16
  5. Step 5: Solve for x
    x = 974,619.16/1,126.32
  6. Step 6: Final answer
    x = 865.31

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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.