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Finding the Fourth Proportional to 582.72, 878.88 and 519.36

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Solution

The fourth proportional to 582.72, 878.88 and 519.36 is: 783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 878.88 = 519.36 : x
  2. Step 2: Convert to fraction form
    582.72/878.88 = 519.36/x
  3. Step 3: Cross multiply
    582.72x = 878.88 × 519.36
  4. Step 4: Simplify right side
    582.72x = 456,455.12
  5. Step 5: Solve for x
    x = 456,455.12/582.72
  6. Step 6: Final answer
    x = 783.32

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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.