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Finding the Fourth Proportional to 652.75, 898.71 and 528.82

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Solution

The fourth proportional to 652.75, 898.71 and 528.82 is: 728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 898.71 = 528.82 : x
  2. Step 2: Convert to fraction form
    652.75/898.71 = 528.82/x
  3. Step 3: Cross multiply
    652.75x = 898.71 × 528.82
  4. Step 4: Simplify right side
    652.75x = 475,255.82
  5. Step 5: Solve for x
    x = 475,255.82/652.75
  6. Step 6: Final answer
    x = 728.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.