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Finding the Fourth Proportional to 644.64, 964.50 and 583.90

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Solution

The fourth proportional to 644.64, 964.50 and 583.90 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.64 : 964.50 = 583.90 : x
  2. Step 2: Convert to fraction form
    644.64/964.50 = 583.90/x
  3. Step 3: Cross multiply
    644.64x = 964.50 × 583.90
  4. Step 4: Simplify right side
    644.64x = 563,171.55
  5. Step 5: Solve for x
    x = 563,171.55/644.64
  6. Step 6: Final answer
    x = 873.62

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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.