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Finding the Fourth Proportional to 666.84, 920.33 and 401.38

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Solution

The fourth proportional to 666.84, 920.33 and 401.38 is: 553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 920.33 = 401.38 : x
  2. Step 2: Convert to fraction form
    666.84/920.33 = 401.38/x
  3. Step 3: Cross multiply
    666.84x = 920.33 × 401.38
  4. Step 4: Simplify right side
    666.84x = 369,402.06
  5. Step 5: Solve for x
    x = 369,402.06/666.84
  6. Step 6: Final answer
    x = 553.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.