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Finding the Fourth Proportional to 651.06, 897.03 and 429.62

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Solution

The fourth proportional to 651.06, 897.03 and 429.62 is: 591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 897.03 = 429.62 : x
  2. Step 2: Convert to fraction form
    651.06/897.03 = 429.62/x
  3. Step 3: Cross multiply
    651.06x = 897.03 × 429.62
  4. Step 4: Simplify right side
    651.06x = 385,377.54
  5. Step 5: Solve for x
    x = 385,377.54/651.06
  6. Step 6: Final answer
    x = 591.92

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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.