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Finding the Fourth Proportional to 857.88, 1,286.37 and 424.50

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Solution

The fourth proportional to 857.88, 1,286.37 and 424.50 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.88 : 1,286.37 = 424.50 : x
  2. Step 2: Convert to fraction form
    857.88/1,286.37 = 424.50/x
  3. Step 3: Cross multiply
    857.88x = 1,286.37 × 424.50
  4. Step 4: Simplify right side
    857.88x = 546,064.07
  5. Step 5: Solve for x
    x = 546,064.07/857.88
  6. Step 6: Final answer
    x = 636.53

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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.