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Finding the Fourth Proportional to 670.42, 1,005.57 and 208.18

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Solution

The fourth proportional to 670.42, 1,005.57 and 208.18 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.42 : 1,005.57 = 208.18 : x
  2. Step 2: Convert to fraction form
    670.42/1,005.57 = 208.18/x
  3. Step 3: Cross multiply
    670.42x = 1,005.57 × 208.18
  4. Step 4: Simplify right side
    670.42x = 209,339.56
  5. Step 5: Solve for x
    x = 209,339.56/670.42
  6. Step 6: Final answer
    x = 312.25

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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.