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Finding the Fourth Proportional to 480.42, 716.34 and 410.76

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Solution

The fourth proportional to 480.42, 716.34 and 410.76 is: 612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.42 : 716.34 = 410.76 : x
  2. Step 2: Convert to fraction form
    480.42/716.34 = 410.76/x
  3. Step 3: Cross multiply
    480.42x = 716.34 × 410.76
  4. Step 4: Simplify right side
    480.42x = 294,243.82
  5. Step 5: Solve for x
    x = 294,243.82/480.42
  6. Step 6: Final answer
    x = 612.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.