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Finding the Fourth Proportional to 666.94, 920.50 and 383.38

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Solution

The fourth proportional to 666.94, 920.50 and 383.38 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.94 : 920.50 = 383.38 : x
  2. Step 2: Convert to fraction form
    666.94/920.50 = 383.38/x
  3. Step 3: Cross multiply
    666.94x = 920.50 × 383.38
  4. Step 4: Simplify right side
    666.94x = 352,901.29
  5. Step 5: Solve for x
    x = 352,901.29/666.94
  6. Step 6: Final answer
    x = 529.13

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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.