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Finding the Fourth Proportional to 666.38, 918.96 and 400.77

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Solution

The fourth proportional to 666.38, 918.96 and 400.77 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.38 : 918.96 = 400.77 : x
  2. Step 2: Convert to fraction form
    666.38/918.96 = 400.77/x
  3. Step 3: Cross multiply
    666.38x = 918.96 × 400.77
  4. Step 4: Simplify right side
    666.38x = 368,291.60
  5. Step 5: Solve for x
    x = 368,291.60/666.38
  6. Step 6: Final answer
    x = 552.68

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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.