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Finding the Fourth Proportional to 665.84, 918.95 and 400.38

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Solution

The fourth proportional to 665.84, 918.95 and 400.38 is: 552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 918.95 = 400.38 : x
  2. Step 2: Convert to fraction form
    665.84/918.95 = 400.38/x
  3. Step 3: Cross multiply
    665.84x = 918.95 × 400.38
  4. Step 4: Simplify right side
    665.84x = 367,927.20
  5. Step 5: Solve for x
    x = 367,927.20/665.84
  6. Step 6: Final answer
    x = 552.58

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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.