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Finding the Fourth Proportional to 487.50, 672.75 and 291.05

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Solution

The fourth proportional to 487.50, 672.75 and 291.05 is: 401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.50 : 672.75 = 291.05 : x
  2. Step 2: Convert to fraction form
    487.50/672.75 = 291.05/x
  3. Step 3: Cross multiply
    487.50x = 672.75 × 291.05
  4. Step 4: Simplify right side
    487.50x = 195,800.52
  5. Step 5: Solve for x
    x = 195,800.52/487.50
  6. Step 6: Final answer
    x = 401.64

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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.