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Finding the Fourth Proportional to 581.58, 797.90 and 567.18

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Solution

The fourth proportional to 581.58, 797.90 and 567.18 is: 778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.58 : 797.90 = 567.18 : x
  2. Step 2: Convert to fraction form
    581.58/797.90 = 567.18/x
  3. Step 3: Cross multiply
    581.58x = 797.90 × 567.18
  4. Step 4: Simplify right side
    581.58x = 452,550.09
  5. Step 5: Solve for x
    x = 452,550.09/581.58
  6. Step 6: Final answer
    x = 778.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.