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Finding the Fourth Proportional to 494.71, 740.44 and 417.76

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Solution

The fourth proportional to 494.71, 740.44 and 417.76 is: 625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.71 : 740.44 = 417.76 : x
  2. Step 2: Convert to fraction form
    494.71/740.44 = 417.76/x
  3. Step 3: Cross multiply
    494.71x = 740.44 × 417.76
  4. Step 4: Simplify right side
    494.71x = 309,324.89
  5. Step 5: Solve for x
    x = 309,324.89/494.71
  6. Step 6: Final answer
    x = 625.27

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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.