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Finding the Fourth Proportional to 587.76, 810.90 and 378.15

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Solution

The fourth proportional to 587.76, 810.90 and 378.15 is: 521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 810.90 = 378.15 : x
  2. Step 2: Convert to fraction form
    587.76/810.90 = 378.15/x
  3. Step 3: Cross multiply
    587.76x = 810.90 × 378.15
  4. Step 4: Simplify right side
    587.76x = 306,641.84
  5. Step 5: Solve for x
    x = 306,641.84/587.76
  6. Step 6: Final answer
    x = 521.71

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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.