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Finding the Fourth Proportional to 423.06, 633.88 and 407.06

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Solution

The fourth proportional to 423.06, 633.88 and 407.06 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 633.88 = 407.06 : x
  2. Step 2: Convert to fraction form
    423.06/633.88 = 407.06/x
  3. Step 3: Cross multiply
    423.06x = 633.88 × 407.06
  4. Step 4: Simplify right side
    423.06x = 258,026.91
  5. Step 5: Solve for x
    x = 258,026.91/423.06
  6. Step 6: Final answer
    x = 609.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.