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Finding the Fourth Proportional to 651.90, 898.94 and 430.56

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Solution

The fourth proportional to 651.90, 898.94 and 430.56 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 898.94 = 430.56 : x
  2. Step 2: Convert to fraction form
    651.90/898.94 = 430.56/x
  3. Step 3: Cross multiply
    651.90x = 898.94 × 430.56
  4. Step 4: Simplify right side
    651.90x = 387,047.61
  5. Step 5: Solve for x
    x = 387,047.61/651.90
  6. Step 6: Final answer
    x = 593.72

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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.