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Finding the Fourth Proportional to 647.86, 964.82 and 619.78

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Solution

The fourth proportional to 647.86, 964.82 and 619.78 is: 923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 964.82 = 619.78 : x
  2. Step 2: Convert to fraction form
    647.86/964.82 = 619.78/x
  3. Step 3: Cross multiply
    647.86x = 964.82 × 619.78
  4. Step 4: Simplify right side
    647.86x = 597,976.14
  5. Step 5: Solve for x
    x = 597,976.14/647.86
  6. Step 6: Final answer
    x = 923.00

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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.