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Finding the Fourth Proportional to 417.96, 623.51 and 353.36

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Solution

The fourth proportional to 417.96, 623.51 and 353.36 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 623.51 = 353.36 : x
  2. Step 2: Convert to fraction form
    417.96/623.51 = 353.36/x
  3. Step 3: Cross multiply
    417.96x = 623.51 × 353.36
  4. Step 4: Simplify right side
    417.96x = 220,326.60
  5. Step 5: Solve for x
    x = 220,326.60/417.96
  6. Step 6: Final answer
    x = 527.15

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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.