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Finding the Fourth Proportional to 701.61, 965.93 and 666.99

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Solution

The fourth proportional to 701.61, 965.93 and 666.99 is: 918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.61 : 965.93 = 666.99 : x
  2. Step 2: Convert to fraction form
    701.61/965.93 = 666.99/x
  3. Step 3: Cross multiply
    701.61x = 965.93 × 666.99
  4. Step 4: Simplify right side
    701.61x = 644,262.32
  5. Step 5: Solve for x
    x = 644,262.32/701.61
  6. Step 6: Final answer
    x = 918.26

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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.