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Finding the Fourth Proportional to 666.14, 918.84 and 535.46

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Solution

The fourth proportional to 666.14, 918.84 and 535.46 is: 738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 918.84 = 535.46 : x
  2. Step 2: Convert to fraction form
    666.14/918.84 = 535.46/x
  3. Step 3: Cross multiply
    666.14x = 918.84 × 535.46
  4. Step 4: Simplify right side
    666.14x = 492,002.07
  5. Step 5: Solve for x
    x = 492,002.07/666.14
  6. Step 6: Final answer
    x = 738.59

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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.