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Finding the Fourth Proportional to 430.71, 641.59 and 407.62

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Solution

The fourth proportional to 430.71, 641.59 and 407.62 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.71 : 641.59 = 407.62 : x
  2. Step 2: Convert to fraction form
    430.71/641.59 = 407.62/x
  3. Step 3: Cross multiply
    430.71x = 641.59 × 407.62
  4. Step 4: Simplify right side
    430.71x = 261,524.92
  5. Step 5: Solve for x
    x = 261,524.92/430.71
  6. Step 6: Final answer
    x = 607.19

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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.