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Finding the Fourth Proportional to 423.41, 630.09 and 407.01

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Solution

The fourth proportional to 423.41, 630.09 and 407.01 is: 605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.41 : 630.09 = 407.01 : x
  2. Step 2: Convert to fraction form
    423.41/630.09 = 407.01/x
  3. Step 3: Cross multiply
    423.41x = 630.09 × 407.01
  4. Step 4: Simplify right side
    423.41x = 256,452.93
  5. Step 5: Solve for x
    x = 256,452.93/423.41
  6. Step 6: Final answer
    x = 605.69

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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.