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Finding the Fourth Proportional to 595.44, 891.72 and 514.80

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Solution

The fourth proportional to 595.44, 891.72 and 514.80 is: 770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 891.72 = 514.80 : x
  2. Step 2: Convert to fraction form
    595.44/891.72 = 514.80/x
  3. Step 3: Cross multiply
    595.44x = 891.72 × 514.80
  4. Step 4: Simplify right side
    595.44x = 459,057.46
  5. Step 5: Solve for x
    x = 459,057.46/595.44
  6. Step 6: Final answer
    x = 770.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.