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Finding the Fourth Proportional to 575.61, 859.35 and 540.84

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Solution

The fourth proportional to 575.61, 859.35 and 540.84 is: 807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.61 : 859.35 = 540.84 : x
  2. Step 2: Convert to fraction form
    575.61/859.35 = 540.84/x
  3. Step 3: Cross multiply
    575.61x = 859.35 × 540.84
  4. Step 4: Simplify right side
    575.61x = 464,770.85
  5. Step 5: Solve for x
    x = 464,770.85/575.61
  6. Step 6: Final answer
    x = 807.44

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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.