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Finding the Fourth Proportional to 706.13, 968.89 and 666.94

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Solution

The fourth proportional to 706.13, 968.89 and 666.94 is: 915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 968.89 = 666.94 : x
  2. Step 2: Convert to fraction form
    706.13/968.89 = 666.94/x
  3. Step 3: Cross multiply
    706.13x = 968.89 × 666.94
  4. Step 4: Simplify right side
    706.13x = 646,191.50
  5. Step 5: Solve for x
    x = 646,191.50/706.13
  6. Step 6: Final answer
    x = 915.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.