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Finding the Fourth Proportional to 462.06, 637.20 and 407.34

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Solution

The fourth proportional to 462.06, 637.20 and 407.34 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 637.20 = 407.34 : x
  2. Step 2: Convert to fraction form
    462.06/637.20 = 407.34/x
  3. Step 3: Cross multiply
    462.06x = 637.20 × 407.34
  4. Step 4: Simplify right side
    462.06x = 259,557.05
  5. Step 5: Solve for x
    x = 259,557.05/462.06
  6. Step 6: Final answer
    x = 561.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.