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Finding the Fourth Proportional to 669.95, 1,005.12 and 207.86

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Solution

The fourth proportional to 669.95, 1,005.12 and 207.86 is: 311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.95 : 1,005.12 = 207.86 : x
  2. Step 2: Convert to fraction form
    669.95/1,005.12 = 207.86/x
  3. Step 3: Cross multiply
    669.95x = 1,005.12 × 207.86
  4. Step 4: Simplify right side
    669.95x = 208,929.56
  5. Step 5: Solve for x
    x = 208,929.56/669.95
  6. Step 6: Final answer
    x = 311.86

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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.