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Finding the Fourth Proportional to 851.90, 1,277.05 and 666.70

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Solution

The fourth proportional to 851.90, 1,277.05 and 666.70 is: 999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,277.05 = 666.70 : x
  2. Step 2: Convert to fraction form
    851.90/1,277.05 = 666.70/x
  3. Step 3: Cross multiply
    851.90x = 1,277.05 × 666.70
  4. Step 4: Simplify right side
    851.90x = 851,409.24
  5. Step 5: Solve for x
    x = 851,409.24/851.90
  6. Step 6: Final answer
    x = 999.42

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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.