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Finding the Fourth Proportional to 666.16, 918.61 and 541.31

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Solution

The fourth proportional to 666.16, 918.61 and 541.31 is: 746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.16 : 918.61 = 541.31 : x
  2. Step 2: Convert to fraction form
    666.16/918.61 = 541.31/x
  3. Step 3: Cross multiply
    666.16x = 918.61 × 541.31
  4. Step 4: Simplify right side
    666.16x = 497,246.83
  5. Step 5: Solve for x
    x = 497,246.83/666.16
  6. Step 6: Final answer
    x = 746.44

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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.