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Finding the Fourth Proportional to 582.22, 872.52 and 399.16

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Solution

The fourth proportional to 582.22, 872.52 and 399.16 is: 598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 872.52 = 399.16 : x
  2. Step 2: Convert to fraction form
    582.22/872.52 = 399.16/x
  3. Step 3: Cross multiply
    582.22x = 872.52 × 399.16
  4. Step 4: Simplify right side
    582.22x = 348,275.08
  5. Step 5: Solve for x
    x = 348,275.08/582.22
  6. Step 6: Final answer
    x = 598.18

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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.