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Finding the Fourth Proportional to 651.22, 898.82 and 430.20

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Solution

The fourth proportional to 651.22, 898.82 and 430.20 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.22 : 898.82 = 430.20 : x
  2. Step 2: Convert to fraction form
    651.22/898.82 = 430.20/x
  3. Step 3: Cross multiply
    651.22x = 898.82 × 430.20
  4. Step 4: Simplify right side
    651.22x = 386,665.72
  5. Step 5: Solve for x
    x = 386,665.72/651.22
  6. Step 6: Final answer
    x = 593.76

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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.