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Finding the Fourth Proportional to 650.90, 897.56 and 429.56

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Solution

The fourth proportional to 650.90, 897.56 and 429.56 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 897.56 = 429.56 : x
  2. Step 2: Convert to fraction form
    650.90/897.56 = 429.56/x
  3. Step 3: Cross multiply
    650.90x = 897.56 × 429.56
  4. Step 4: Simplify right side
    650.90x = 385,555.87
  5. Step 5: Solve for x
    x = 385,555.87/650.90
  6. Step 6: Final answer
    x = 592.34

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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.