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Finding the Fourth Proportional to 599.43, 898.65 and 417.18

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Solution

The fourth proportional to 599.43, 898.65 and 417.18 is: 625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.43 : 898.65 = 417.18 : x
  2. Step 2: Convert to fraction form
    599.43/898.65 = 417.18/x
  3. Step 3: Cross multiply
    599.43x = 898.65 × 417.18
  4. Step 4: Simplify right side
    599.43x = 374,898.81
  5. Step 5: Solve for x
    x = 374,898.81/599.43
  6. Step 6: Final answer
    x = 625.43

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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.