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Finding the Fourth Proportional to 921.46, 1,375.76 and 782.55

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Solution

The fourth proportional to 921.46, 1,375.76 and 782.55 is: 1,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.46 : 1,375.76 = 782.55 : x
  2. Step 2: Convert to fraction form
    921.46/1,375.76 = 782.55/x
  3. Step 3: Cross multiply
    921.46x = 1,375.76 × 782.55
  4. Step 4: Simplify right side
    921.46x = 1,076,600.99
  5. Step 5: Solve for x
    x = 1,076,600.99/921.46
  6. Step 6: Final answer
    x = 1,168.36

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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.