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Finding the Fourth Proportional to 582.08, 867.60 and 549.27

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Solution

The fourth proportional to 582.08, 867.60 and 549.27 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 867.60 = 549.27 : x
  2. Step 2: Convert to fraction form
    582.08/867.60 = 549.27/x
  3. Step 3: Cross multiply
    582.08x = 867.60 × 549.27
  4. Step 4: Simplify right side
    582.08x = 476,546.65
  5. Step 5: Solve for x
    x = 476,546.65/582.08
  6. Step 6: Final answer
    x = 818.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.