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Finding the Fourth Proportional to 669.68, 997.64 and 638.08

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Solution

The fourth proportional to 669.68, 997.64 and 638.08 is: 950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.68 : 997.64 = 638.08 : x
  2. Step 2: Convert to fraction form
    669.68/997.64 = 638.08/x
  3. Step 3: Cross multiply
    669.68x = 997.64 × 638.08
  4. Step 4: Simplify right side
    669.68x = 636,574.13
  5. Step 5: Solve for x
    x = 636,574.13/669.68
  6. Step 6: Final answer
    x = 950.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.