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Finding the Fourth Proportional to 430.24, 640.73 and 411.52

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Solution

The fourth proportional to 430.24, 640.73 and 411.52 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 640.73 = 411.52 : x
  2. Step 2: Convert to fraction form
    430.24/640.73 = 411.52/x
  3. Step 3: Cross multiply
    430.24x = 640.73 × 411.52
  4. Step 4: Simplify right side
    430.24x = 263,673.21
  5. Step 5: Solve for x
    x = 263,673.21/430.24
  6. Step 6: Final answer
    x = 612.85

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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.