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Finding the Fourth Proportional to 587.79, 810.79 and 378.24

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Solution

The fourth proportional to 587.79, 810.79 and 378.24 is: 521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.79 : 810.79 = 378.24 : x
  2. Step 2: Convert to fraction form
    587.79/810.79 = 378.24/x
  3. Step 3: Cross multiply
    587.79x = 810.79 × 378.24
  4. Step 4: Simplify right side
    587.79x = 306,673.78
  5. Step 5: Solve for x
    x = 306,673.78/587.79
  6. Step 6: Final answer
    x = 521.74

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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.