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Finding the Fourth Proportional to 650.82, 898.29 and 430.14

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Solution

The fourth proportional to 650.82, 898.29 and 430.14 is: 593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 898.29 = 430.14 : x
  2. Step 2: Convert to fraction form
    650.82/898.29 = 430.14/x
  3. Step 3: Cross multiply
    650.82x = 898.29 × 430.14
  4. Step 4: Simplify right side
    650.82x = 386,390.46
  5. Step 5: Solve for x
    x = 386,390.46/650.82
  6. Step 6: Final answer
    x = 593.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.