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Finding the Fourth Proportional to 578.84, 871.40 and 528.62

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Solution

The fourth proportional to 578.84, 871.40 and 528.62 is: 795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.84 : 871.40 = 528.62 : x
  2. Step 2: Convert to fraction form
    578.84/871.40 = 528.62/x
  3. Step 3: Cross multiply
    578.84x = 871.40 × 528.62
  4. Step 4: Simplify right side
    578.84x = 460,632.47
  5. Step 5: Solve for x
    x = 460,632.47/578.84
  6. Step 6: Final answer
    x = 795.79

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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.