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Finding the Fourth Proportional to 857.78, 1,184.32 and 563.56

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Solution

The fourth proportional to 857.78, 1,184.32 and 563.56 is: 778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.78 : 1,184.32 = 563.56 : x
  2. Step 2: Convert to fraction form
    857.78/1,184.32 = 563.56/x
  3. Step 3: Cross multiply
    857.78x = 1,184.32 × 563.56
  4. Step 4: Simplify right side
    857.78x = 667,435.38
  5. Step 5: Solve for x
    x = 667,435.38/857.78
  6. Step 6: Final answer
    x = 778.10

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Half scale
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Double scale
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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.