Home / 1,023.16-1,411.91-581.00

Finding the Fourth Proportional to 1,023.16, 1,411.91 and 581.00

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Solution

The fourth proportional to 1,023.16, 1,411.91 and 581.00 is: 801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.16 : 1,411.91 = 581.00 : x
  2. Step 2: Convert to fraction form
    1,023.16/1,411.91 = 581.00/x
  3. Step 3: Cross multiply
    1,023.16x = 1,411.91 × 581.00
  4. Step 4: Simplify right side
    1,023.16x = 820,317.22
  5. Step 5: Solve for x
    x = 820,317.22/1,023.16
  6. Step 6: Final answer
    x = 801.75

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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.