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Finding the Fourth Proportional to 407.43, 608.76 and 399.78

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Solution

The fourth proportional to 407.43, 608.76 and 399.78 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.43 : 608.76 = 399.78 : x
  2. Step 2: Convert to fraction form
    407.43/608.76 = 399.78/x
  3. Step 3: Cross multiply
    407.43x = 608.76 × 399.78
  4. Step 4: Simplify right side
    407.43x = 243,370.07
  5. Step 5: Solve for x
    x = 243,370.07/407.43
  6. Step 6: Final answer
    x = 597.33

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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.