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Finding the Fourth Proportional to 651.21, 898.40 and 430.11

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Solution

The fourth proportional to 651.21, 898.40 and 430.11 is: 593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.21 : 898.40 = 430.11 : x
  2. Step 2: Convert to fraction form
    651.21/898.40 = 430.11/x
  3. Step 3: Cross multiply
    651.21x = 898.40 × 430.11
  4. Step 4: Simplify right side
    651.21x = 386,408.67
  5. Step 5: Solve for x
    x = 386,408.67/651.21
  6. Step 6: Final answer
    x = 593.37

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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.