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Finding the Fourth Proportional to 589.08, 883.62 and 372.78

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Solution

The fourth proportional to 589.08, 883.62 and 372.78 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 883.62 = 372.78 : x
  2. Step 2: Convert to fraction form
    589.08/883.62 = 372.78/x
  3. Step 3: Cross multiply
    589.08x = 883.62 × 372.78
  4. Step 4: Simplify right side
    589.08x = 329,395.86
  5. Step 5: Solve for x
    x = 329,395.86/589.08
  6. Step 6: Final answer
    x = 559.17

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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.