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Finding the Fourth Proportional to 407.30, 614.23 and 401.84

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Solution

The fourth proportional to 407.30, 614.23 and 401.84 is: 606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 614.23 = 401.84 : x
  2. Step 2: Convert to fraction form
    407.30/614.23 = 401.84/x
  3. Step 3: Cross multiply
    407.30x = 614.23 × 401.84
  4. Step 4: Simplify right side
    407.30x = 246,822.18
  5. Step 5: Solve for x
    x = 246,822.18/407.30
  6. Step 6: Final answer
    x = 606.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.