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Finding the Fourth Proportional to 857.47, 1,286.20 and 549.47

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Solution

The fourth proportional to 857.47, 1,286.20 and 549.47 is: 824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,286.20 = 549.47 : x
  2. Step 2: Convert to fraction form
    857.47/1,286.20 = 549.47/x
  3. Step 3: Cross multiply
    857.47x = 1,286.20 × 549.47
  4. Step 4: Simplify right side
    857.47x = 706,728.31
  5. Step 5: Solve for x
    x = 706,728.31/857.47
  6. Step 6: Final answer
    x = 824.20

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Double scale
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1.5x scale

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.