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Finding the Fourth Proportional to 651.40, 898.83 and 371.65

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Solution

The fourth proportional to 651.40, 898.83 and 371.65 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 898.83 = 371.65 : x
  2. Step 2: Convert to fraction form
    651.40/898.83 = 371.65/x
  3. Step 3: Cross multiply
    651.40x = 898.83 × 371.65
  4. Step 4: Simplify right side
    651.40x = 334,050.17
  5. Step 5: Solve for x
    x = 334,050.17/651.40
  6. Step 6: Final answer
    x = 512.82

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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.