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Finding the Fourth Proportional to 498.40, 744.34 and 417.31

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Solution

The fourth proportional to 498.40, 744.34 and 417.31 is: 623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 744.34 = 417.31 : x
  2. Step 2: Convert to fraction form
    498.40/744.34 = 417.31/x
  3. Step 3: Cross multiply
    498.40x = 744.34 × 417.31
  4. Step 4: Simplify right side
    498.40x = 310,620.53
  5. Step 5: Solve for x
    x = 310,620.53/498.40
  6. Step 6: Final answer
    x = 623.24

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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.