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Finding the Fourth Proportional to 669.84, 1,003.40 and 613.84

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Solution

The fourth proportional to 669.84, 1,003.40 and 613.84 is: 919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.84 : 1,003.40 = 613.84 : x
  2. Step 2: Convert to fraction form
    669.84/1,003.40 = 613.84/x
  3. Step 3: Cross multiply
    669.84x = 1,003.40 × 613.84
  4. Step 4: Simplify right side
    669.84x = 615,927.06
  5. Step 5: Solve for x
    x = 615,927.06/669.84
  6. Step 6: Final answer
    x = 919.51

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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.