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Finding the Fourth Proportional to 582.24, 866.40 and 580.80

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Solution

The fourth proportional to 582.24, 866.40 and 580.80 is: 864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 866.40 = 580.80 : x
  2. Step 2: Convert to fraction form
    582.24/866.40 = 580.80/x
  3. Step 3: Cross multiply
    582.24x = 866.40 × 580.80
  4. Step 4: Simplify right side
    582.24x = 503,205.12
  5. Step 5: Solve for x
    x = 503,205.12/582.24
  6. Step 6: Final answer
    x = 864.26

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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.