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Finding the Fourth Proportional to 921.33, 1,271.53 and 688.05

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Solution

The fourth proportional to 921.33, 1,271.53 and 688.05 is: 949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.33 : 1,271.53 = 688.05 : x
  2. Step 2: Convert to fraction form
    921.33/1,271.53 = 688.05/x
  3. Step 3: Cross multiply
    921.33x = 1,271.53 × 688.05
  4. Step 4: Simplify right side
    921.33x = 874,872.78
  5. Step 5: Solve for x
    x = 874,872.78/921.33
  6. Step 6: Final answer
    x = 949.58

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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.