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Finding the Fourth Proportional to 578.55, 866.10 and 372.51

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Solution

The fourth proportional to 578.55, 866.10 and 372.51 is: 557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.55 : 866.10 = 372.51 : x
  2. Step 2: Convert to fraction form
    578.55/866.10 = 372.51/x
  3. Step 3: Cross multiply
    578.55x = 866.10 × 372.51
  4. Step 4: Simplify right side
    578.55x = 322,630.91
  5. Step 5: Solve for x
    x = 322,630.91/578.55
  6. Step 6: Final answer
    x = 557.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.