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Finding the Fourth Proportional to 651.65, 971.82 and 619.43

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Solution

The fourth proportional to 651.65, 971.82 and 619.43 is: 923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 971.82 = 619.43 : x
  2. Step 2: Convert to fraction form
    651.65/971.82 = 619.43/x
  3. Step 3: Cross multiply
    651.65x = 971.82 × 619.43
  4. Step 4: Simplify right side
    651.65x = 601,969.60
  5. Step 5: Solve for x
    x = 601,969.60/651.65
  6. Step 6: Final answer
    x = 923.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.