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Finding the Fourth Proportional to 575.79, 859.27 and 514.28

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Solution

The fourth proportional to 575.79, 859.27 and 514.28 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.79 : 859.27 = 514.28 : x
  2. Step 2: Convert to fraction form
    575.79/859.27 = 514.28/x
  3. Step 3: Cross multiply
    575.79x = 859.27 × 514.28
  4. Step 4: Simplify right side
    575.79x = 441,905.76
  5. Step 5: Solve for x
    x = 441,905.76/575.79
  6. Step 6: Final answer
    x = 767.47

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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.