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Finding the Fourth Proportional to 582.79, 878.27 and 525.08

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Solution

The fourth proportional to 582.79, 878.27 and 525.08 is: 791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.79 : 878.27 = 525.08 : x
  2. Step 2: Convert to fraction form
    582.79/878.27 = 525.08/x
  3. Step 3: Cross multiply
    582.79x = 878.27 × 525.08
  4. Step 4: Simplify right side
    582.79x = 461,162.01
  5. Step 5: Solve for x
    x = 461,162.01/582.79
  6. Step 6: Final answer
    x = 791.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.