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Finding the Fourth Proportional to 666.37, 918.63 and 469.27

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Solution

The fourth proportional to 666.37, 918.63 and 469.27 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 918.63 = 469.27 : x
  2. Step 2: Convert to fraction form
    666.37/918.63 = 469.27/x
  3. Step 3: Cross multiply
    666.37x = 918.63 × 469.27
  4. Step 4: Simplify right side
    666.37x = 431,085.50
  5. Step 5: Solve for x
    x = 431,085.50/666.37
  6. Step 6: Final answer
    x = 646.92

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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.