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Finding the Fourth Proportional to 707.09, 973.49 and 613.53

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Solution

The fourth proportional to 707.09, 973.49 and 613.53 is: 844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.09 : 973.49 = 613.53 : x
  2. Step 2: Convert to fraction form
    707.09/973.49 = 613.53/x
  3. Step 3: Cross multiply
    707.09x = 973.49 × 613.53
  4. Step 4: Simplify right side
    707.09x = 597,262.25
  5. Step 5: Solve for x
    x = 597,262.25/707.09
  6. Step 6: Final answer
    x = 844.68

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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.