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Finding the Fourth Proportional to 582.92, 874.27 and 217.63

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Solution

The fourth proportional to 582.92, 874.27 and 217.63 is: 326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.92 : 874.27 = 217.63 : x
  2. Step 2: Convert to fraction form
    582.92/874.27 = 217.63/x
  3. Step 3: Cross multiply
    582.92x = 874.27 × 217.63
  4. Step 4: Simplify right side
    582.92x = 190,267.38
  5. Step 5: Solve for x
    x = 190,267.38/582.92
  6. Step 6: Final answer
    x = 326.40

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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.