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Finding the Fourth Proportional to 430.91, 646.39 and 379.91

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Solution

The fourth proportional to 430.91, 646.39 and 379.91 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.91 : 646.39 = 379.91 : x
  2. Step 2: Convert to fraction form
    430.91/646.39 = 379.91/x
  3. Step 3: Cross multiply
    430.91x = 646.39 × 379.91
  4. Step 4: Simplify right side
    430.91x = 245,570.02
  5. Step 5: Solve for x
    x = 245,570.02/430.91
  6. Step 6: Final answer
    x = 569.89

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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.