Home / 1,022.64-1,411.40-580.45

Finding the Fourth Proportional to 1,022.64, 1,411.40 and 580.45

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Solution

The fourth proportional to 1,022.64, 1,411.40 and 580.45 is: 801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.64 : 1,411.40 = 580.45 : x
  2. Step 2: Convert to fraction form
    1,022.64/1,411.40 = 580.45/x
  3. Step 3: Cross multiply
    1,022.64x = 1,411.40 × 580.45
  4. Step 4: Simplify right side
    1,022.64x = 819,247.13
  5. Step 5: Solve for x
    x = 819,247.13/1,022.64
  6. Step 6: Final answer
    x = 801.11

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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.