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Finding the Fourth Proportional to 699.22, 962.58 and 524.26

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Solution

The fourth proportional to 699.22, 962.58 and 524.26 is: 721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.22 : 962.58 = 524.26 : x
  2. Step 2: Convert to fraction form
    699.22/962.58 = 524.26/x
  3. Step 3: Cross multiply
    699.22x = 962.58 × 524.26
  4. Step 4: Simplify right side
    699.22x = 504,642.19
  5. Step 5: Solve for x
    x = 504,642.19/699.22
  6. Step 6: Final answer
    x = 721.72

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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.