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Finding the Fourth Proportional to 921.59, 1,270.83 and 711.80

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Solution

The fourth proportional to 921.59, 1,270.83 and 711.80 is: 981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.59 : 1,270.83 = 711.80 : x
  2. Step 2: Convert to fraction form
    921.59/1,270.83 = 711.80/x
  3. Step 3: Cross multiply
    921.59x = 1,270.83 × 711.80
  4. Step 4: Simplify right side
    921.59x = 904,577.87
  5. Step 5: Solve for x
    x = 904,577.87/921.59
  6. Step 6: Final answer
    x = 981.54

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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.