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Finding the Fourth Proportional to 857.38, 1,183.18 and 595.55

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Solution

The fourth proportional to 857.38, 1,183.18 and 595.55 is: 821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,183.18 = 595.55 : x
  2. Step 2: Convert to fraction form
    857.38/1,183.18 = 595.55/x
  3. Step 3: Cross multiply
    857.38x = 1,183.18 × 595.55
  4. Step 4: Simplify right side
    857.38x = 704,636.93
  5. Step 5: Solve for x
    x = 704,636.93/857.38
  6. Step 6: Final answer
    x = 821.85

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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.