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Finding the Fourth Proportional to 583.12, 874.28 and 217.71

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Solution

The fourth proportional to 583.12, 874.28 and 217.71 is: 326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.12 : 874.28 = 217.71 : x
  2. Step 2: Convert to fraction form
    583.12/874.28 = 217.71/x
  3. Step 3: Cross multiply
    583.12x = 874.28 × 217.71
  4. Step 4: Simplify right side
    583.12x = 190,339.50
  5. Step 5: Solve for x
    x = 190,339.50/583.12
  6. Step 6: Final answer
    x = 326.42

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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.