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Finding the Fourth Proportional to 706.69, 973.11 and 640.81

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Solution

The fourth proportional to 706.69, 973.11 and 640.81 is: 882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 973.11 = 640.81 : x
  2. Step 2: Convert to fraction form
    706.69/973.11 = 640.81/x
  3. Step 3: Cross multiply
    706.69x = 973.11 × 640.81
  4. Step 4: Simplify right side
    706.69x = 623,578.62
  5. Step 5: Solve for x
    x = 623,578.62/706.69
  6. Step 6: Final answer
    x = 882.39

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1.5x scale

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.