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Finding the Fourth Proportional to 430.91, 646.89 and 409.39

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Solution

The fourth proportional to 430.91, 646.89 and 409.39 is: 614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.91 : 646.89 = 409.39 : x
  2. Step 2: Convert to fraction form
    430.91/646.89 = 409.39/x
  3. Step 3: Cross multiply
    430.91x = 646.89 × 409.39
  4. Step 4: Simplify right side
    430.91x = 264,830.30
  5. Step 5: Solve for x
    x = 264,830.30/430.91
  6. Step 6: Final answer
    x = 614.58

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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.