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Finding the Fourth Proportional to 582.77, 878.52 and 533.52

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Solution

The fourth proportional to 582.77, 878.52 and 533.52 is: 804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.77 : 878.52 = 533.52 : x
  2. Step 2: Convert to fraction form
    582.77/878.52 = 533.52/x
  3. Step 3: Cross multiply
    582.77x = 878.52 × 533.52
  4. Step 4: Simplify right side
    582.77x = 468,707.99
  5. Step 5: Solve for x
    x = 468,707.99/582.77
  6. Step 6: Final answer
    x = 804.28

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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.