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Finding the Fourth Proportional to 575.60, 859.14 and 564.88

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Solution

The fourth proportional to 575.60, 859.14 and 564.88 is: 843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.60 : 859.14 = 564.88 : x
  2. Step 2: Convert to fraction form
    575.60/859.14 = 564.88/x
  3. Step 3: Cross multiply
    575.60x = 859.14 × 564.88
  4. Step 4: Simplify right side
    575.60x = 485,311.00
  5. Step 5: Solve for x
    x = 485,311.00/575.60
  6. Step 6: Final answer
    x = 843.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.