Home / 1,020.16-1,407.66-577.96

Finding the Fourth Proportional to 1,020.16, 1,407.66 and 577.96

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Solution

The fourth proportional to 1,020.16, 1,407.66 and 577.96 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.16 : 1,407.66 = 577.96 : x
  2. Step 2: Convert to fraction form
    1,020.16/1,407.66 = 577.96/x
  3. Step 3: Cross multiply
    1,020.16x = 1,407.66 × 577.96
  4. Step 4: Simplify right side
    1,020.16x = 813,571.17
  5. Step 5: Solve for x
    x = 813,571.17/1,020.16
  6. Step 6: Final answer
    x = 797.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.