Home / 1,022.95-1,411.60-574.78

Finding the Fourth Proportional to 1,022.95, 1,411.60 and 574.78

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Solution

The fourth proportional to 1,022.95, 1,411.60 and 574.78 is: 793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,411.60 = 574.78 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,411.60 = 574.78/x
  3. Step 3: Cross multiply
    1,022.95x = 1,411.60 × 574.78
  4. Step 4: Simplify right side
    1,022.95x = 811,359.45
  5. Step 5: Solve for x
    x = 811,359.45/1,022.95
  6. Step 6: Final answer
    x = 793.16

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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.