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Finding the Fourth Proportional to 595.02, 891.78 and 320.55

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Solution

The fourth proportional to 595.02, 891.78 and 320.55 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.02 : 891.78 = 320.55 : x
  2. Step 2: Convert to fraction form
    595.02/891.78 = 320.55/x
  3. Step 3: Cross multiply
    595.02x = 891.78 × 320.55
  4. Step 4: Simplify right side
    595.02x = 285,860.08
  5. Step 5: Solve for x
    x = 285,860.08/595.02
  6. Step 6: Final answer
    x = 480.42

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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.