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Finding the Fourth Proportional to 651.50, 898.80 and 427.38

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Solution

The fourth proportional to 651.50, 898.80 and 427.38 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.50 : 898.80 = 427.38 : x
  2. Step 2: Convert to fraction form
    651.50/898.80 = 427.38/x
  3. Step 3: Cross multiply
    651.50x = 898.80 × 427.38
  4. Step 4: Simplify right side
    651.50x = 384,129.14
  5. Step 5: Solve for x
    x = 384,129.14/651.50
  6. Step 6: Final answer
    x = 589.61

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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.