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Finding the Fourth Proportional to 595.20, 891.75 and 521.25

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Solution

The fourth proportional to 595.20, 891.75 and 521.25 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.20 : 891.75 = 521.25 : x
  2. Step 2: Convert to fraction form
    595.20/891.75 = 521.25/x
  3. Step 3: Cross multiply
    595.20x = 891.75 × 521.25
  4. Step 4: Simplify right side
    595.20x = 464,824.69
  5. Step 5: Solve for x
    x = 464,824.69/595.20
  6. Step 6: Final answer
    x = 780.96

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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.