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Finding the Fourth Proportional to 410.77, 614.58 and 278.47

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Solution

The fourth proportional to 410.77, 614.58 and 278.47 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.77 : 614.58 = 278.47 : x
  2. Step 2: Convert to fraction form
    410.77/614.58 = 278.47/x
  3. Step 3: Cross multiply
    410.77x = 614.58 × 278.47
  4. Step 4: Simplify right side
    410.77x = 171,142.09
  5. Step 5: Solve for x
    x = 171,142.09/410.77
  6. Step 6: Final answer
    x = 416.64

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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.