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Finding the Fourth Proportional to 589.48, 878.45 and 554.80

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Solution

The fourth proportional to 589.48, 878.45 and 554.80 is: 826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 878.45 = 554.80 : x
  2. Step 2: Convert to fraction form
    589.48/878.45 = 554.80/x
  3. Step 3: Cross multiply
    589.48x = 878.45 × 554.80
  4. Step 4: Simplify right side
    589.48x = 487,364.06
  5. Step 5: Solve for x
    x = 487,364.06/589.48
  6. Step 6: Final answer
    x = 826.77

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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.