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Finding the Fourth Proportional to 666.72, 918.95 and 562.82

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Solution

The fourth proportional to 666.72, 918.95 and 562.82 is: 775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.72 : 918.95 = 562.82 : x
  2. Step 2: Convert to fraction form
    666.72/918.95 = 562.82/x
  3. Step 3: Cross multiply
    666.72x = 918.95 × 562.82
  4. Step 4: Simplify right side
    666.72x = 517,196.03
  5. Step 5: Solve for x
    x = 517,196.03/666.72
  6. Step 6: Final answer
    x = 775.73

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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.