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Finding the Fourth Proportional to 589.78, 880.08 and 528.29

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Solution

The fourth proportional to 589.78, 880.08 and 528.29 is: 788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 880.08 = 528.29 : x
  2. Step 2: Convert to fraction form
    589.78/880.08 = 528.29/x
  3. Step 3: Cross multiply
    589.78x = 880.08 × 528.29
  4. Step 4: Simplify right side
    589.78x = 464,937.35
  5. Step 5: Solve for x
    x = 464,937.35/589.78
  6. Step 6: Final answer
    x = 788.32

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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.