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Finding the Fourth Proportional to 595.77, 822.42 and 396.90

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Solution

The fourth proportional to 595.77, 822.42 and 396.90 is: 547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.77 : 822.42 = 396.90 : x
  2. Step 2: Convert to fraction form
    595.77/822.42 = 396.90/x
  3. Step 3: Cross multiply
    595.77x = 822.42 × 396.90
  4. Step 4: Simplify right side
    595.77x = 326,418.50
  5. Step 5: Solve for x
    x = 326,418.50/595.77
  6. Step 6: Final answer
    x = 547.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.