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Finding the Fourth Proportional to 666.20, 918.14 and 546.36

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Solution

The fourth proportional to 666.20, 918.14 and 546.36 is: 752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.20 : 918.14 = 546.36 : x
  2. Step 2: Convert to fraction form
    666.20/918.14 = 546.36/x
  3. Step 3: Cross multiply
    666.20x = 918.14 × 546.36
  4. Step 4: Simplify right side
    666.20x = 501,632.24
  5. Step 5: Solve for x
    x = 501,632.24/666.20
  6. Step 6: Final answer
    x = 752.98

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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.