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Finding the Fourth Proportional to 670.67, 1,005.69 and 208.50

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Solution

The fourth proportional to 670.67, 1,005.69 and 208.50 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.67 : 1,005.69 = 208.50 : x
  2. Step 2: Convert to fraction form
    670.67/1,005.69 = 208.50/x
  3. Step 3: Cross multiply
    670.67x = 1,005.69 × 208.50
  4. Step 4: Simplify right side
    670.67x = 209,686.37
  5. Step 5: Solve for x
    x = 209,686.37/670.67
  6. Step 6: Final answer
    x = 312.65

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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.