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Finding the Fourth Proportional to 644.07, 966.10 and 259.59

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Solution

The fourth proportional to 644.07, 966.10 and 259.59 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.07 : 966.10 = 259.59 : x
  2. Step 2: Convert to fraction form
    644.07/966.10 = 259.59/x
  3. Step 3: Cross multiply
    644.07x = 966.10 × 259.59
  4. Step 4: Simplify right side
    644.07x = 250,785.07
  5. Step 5: Solve for x
    x = 250,785.07/644.07
  6. Step 6: Final answer
    x = 389.38

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1.5x scale

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.