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Finding the Fourth Proportional to 670.64, 1,006.10 and 208.40

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Solution

The fourth proportional to 670.64, 1,006.10 and 208.40 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 1,006.10 = 208.40 : x
  2. Step 2: Convert to fraction form
    670.64/1,006.10 = 208.40/x
  3. Step 3: Cross multiply
    670.64x = 1,006.10 × 208.40
  4. Step 4: Simplify right side
    670.64x = 209,674.28
  5. Step 5: Solve for x
    x = 209,674.28/670.64
  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.