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Finding the Fourth Proportional to 407.87, 610.72 and 278.13

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Solution

The fourth proportional to 407.87, 610.72 and 278.13 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 610.72 = 278.13 : x
  2. Step 2: Convert to fraction form
    407.87/610.72 = 278.13/x
  3. Step 3: Cross multiply
    407.87x = 610.72 × 278.13
  4. Step 4: Simplify right side
    407.87x = 169,859.28
  5. Step 5: Solve for x
    x = 169,859.28/407.87
  6. Step 6: Final answer
    x = 416.45

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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.