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Finding the Fourth Proportional to 644.13, 966.33 and 583.65

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Solution

The fourth proportional to 644.13, 966.33 and 583.65 is: 875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.13 : 966.33 = 583.65 : x
  2. Step 2: Convert to fraction form
    644.13/966.33 = 583.65/x
  3. Step 3: Cross multiply
    644.13x = 966.33 × 583.65
  4. Step 4: Simplify right side
    644.13x = 563,998.50
  5. Step 5: Solve for x
    x = 563,998.50/644.13
  6. Step 6: Final answer
    x = 875.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.