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Finding the Fourth Proportional to 423.91, 630.83 and 407.51

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Solution

The fourth proportional to 423.91, 630.83 and 407.51 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.91 : 630.83 = 407.51 : x
  2. Step 2: Convert to fraction form
    423.91/630.83 = 407.51/x
  3. Step 3: Cross multiply
    423.91x = 630.83 × 407.51
  4. Step 4: Simplify right side
    423.91x = 257,069.53
  5. Step 5: Solve for x
    x = 257,069.53/423.91
  6. Step 6: Final answer
    x = 606.42

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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.