Home / 1,020.15-1,407.73-577.95

Finding the Fourth Proportional to 1,020.15, 1,407.73 and 577.95

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Solution

The fourth proportional to 1,020.15, 1,407.73 and 577.95 is: 797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.15 : 1,407.73 = 577.95 : x
  2. Step 2: Convert to fraction form
    1,020.15/1,407.73 = 577.95/x
  3. Step 3: Cross multiply
    1,020.15x = 1,407.73 × 577.95
  4. Step 4: Simplify right side
    1,020.15x = 813,597.55
  5. Step 5: Solve for x
    x = 813,597.55/1,020.15
  6. Step 6: Final answer
    x = 797.53

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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.