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Finding the Fourth Proportional to 430.76, 641.74 and 410.12

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Solution

The fourth proportional to 430.76, 641.74 and 410.12 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.76 : 641.74 = 410.12 : x
  2. Step 2: Convert to fraction form
    430.76/641.74 = 410.12/x
  3. Step 3: Cross multiply
    430.76x = 641.74 × 410.12
  4. Step 4: Simplify right side
    430.76x = 263,190.41
  5. Step 5: Solve for x
    x = 263,190.41/430.76
  6. Step 6: Final answer
    x = 610.99

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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.