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Finding the Fourth Proportional to 487.65, 671.85 and 376.74

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Solution

The fourth proportional to 487.65, 671.85 and 376.74 is: 519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.65 : 671.85 = 376.74 : x
  2. Step 2: Convert to fraction form
    487.65/671.85 = 376.74/x
  3. Step 3: Cross multiply
    487.65x = 671.85 × 376.74
  4. Step 4: Simplify right side
    487.65x = 253,112.77
  5. Step 5: Solve for x
    x = 253,112.77/487.65
  6. Step 6: Final answer
    x = 519.05

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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.