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Finding the Fourth Proportional to 666.18, 1,000.70 and 644.32

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Solution

The fourth proportional to 666.18, 1,000.70 and 644.32 is: 967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.18 : 1,000.70 = 644.32 : x
  2. Step 2: Convert to fraction form
    666.18/1,000.70 = 644.32/x
  3. Step 3: Cross multiply
    666.18x = 1,000.70 × 644.32
  4. Step 4: Simplify right side
    666.18x = 644,771.02
  5. Step 5: Solve for x
    x = 644,771.02/666.18
  6. Step 6: Final answer
    x = 967.86

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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.