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Finding the Fourth Proportional to 666.84, 920.24 and 387.08

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Solution

The fourth proportional to 666.84, 920.24 and 387.08 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 920.24 = 387.08 : x
  2. Step 2: Convert to fraction form
    666.84/920.24 = 387.08/x
  3. Step 3: Cross multiply
    666.84x = 920.24 × 387.08
  4. Step 4: Simplify right side
    666.84x = 356,206.50
  5. Step 5: Solve for x
    x = 356,206.50/666.84
  6. Step 6: Final answer
    x = 534.17

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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.