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Finding the Fourth Proportional to 582.23, 801.42 and 499.25

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Solution

The fourth proportional to 582.23, 801.42 and 499.25 is: 687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.23 : 801.42 = 499.25 : x
  2. Step 2: Convert to fraction form
    582.23/801.42 = 499.25/x
  3. Step 3: Cross multiply
    582.23x = 801.42 × 499.25
  4. Step 4: Simplify right side
    582.23x = 400,108.94
  5. Step 5: Solve for x
    x = 400,108.94/582.23
  6. Step 6: Final answer
    x = 687.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.