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Finding the Fourth Proportional to 921.53, 1,270.36 and 700.09

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Solution

The fourth proportional to 921.53, 1,270.36 and 700.09 is: 965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.53 : 1,270.36 = 700.09 : x
  2. Step 2: Convert to fraction form
    921.53/1,270.36 = 700.09/x
  3. Step 3: Cross multiply
    921.53x = 1,270.36 × 700.09
  4. Step 4: Simplify right side
    921.53x = 889,368.80
  5. Step 5: Solve for x
    x = 889,368.80/921.53
  6. Step 6: Final answer
    x = 965.11

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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.