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Finding the Fourth Proportional to 407.12, 608.00 and 402.89

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Solution

The fourth proportional to 407.12, 608.00 and 402.89 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 608.00 = 402.89 : x
  2. Step 2: Convert to fraction form
    407.12/608.00 = 402.89/x
  3. Step 3: Cross multiply
    407.12x = 608.00 × 402.89
  4. Step 4: Simplify right side
    407.12x = 244,952.07
  5. Step 5: Solve for x
    x = 244,952.07/407.12
  6. Step 6: Final answer
    x = 601.68

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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.