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Finding the Fourth Proportional to 699.89, 1,043.73 and 613.62

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Solution

The fourth proportional to 699.89, 1,043.73 and 613.62 is: 915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.89 : 1,043.73 = 613.62 : x
  2. Step 2: Convert to fraction form
    699.89/1,043.73 = 613.62/x
  3. Step 3: Cross multiply
    699.89x = 1,043.73 × 613.62
  4. Step 4: Simplify right side
    699.89x = 640,453.60
  5. Step 5: Solve for x
    x = 640,453.60/699.89
  6. Step 6: Final answer
    x = 915.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.