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Finding the Fourth Proportional to 666.30, 918.95 and 404.09

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Solution

The fourth proportional to 666.30, 918.95 and 404.09 is: 557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.30 : 918.95 = 404.09 : x
  2. Step 2: Convert to fraction form
    666.30/918.95 = 404.09/x
  3. Step 3: Cross multiply
    666.30x = 918.95 × 404.09
  4. Step 4: Simplify right side
    666.30x = 371,331.89
  5. Step 5: Solve for x
    x = 371,331.89/666.30
  6. Step 6: Final answer
    x = 557.30

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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.