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Finding the Fourth Proportional to 644.90, 966.30 and 400.76

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Solution

The fourth proportional to 644.90, 966.30 and 400.76 is: 600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.90 : 966.30 = 400.76 : x
  2. Step 2: Convert to fraction form
    644.90/966.30 = 400.76/x
  3. Step 3: Cross multiply
    644.90x = 966.30 × 400.76
  4. Step 4: Simplify right side
    644.90x = 387,254.39
  5. Step 5: Solve for x
    x = 387,254.39/644.90
  6. Step 6: Final answer
    x = 600.49

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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.