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Finding the Fourth Proportional to 921.05, 1,378.95 and 701.43

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Solution

The fourth proportional to 921.05, 1,378.95 and 701.43 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.05 : 1,378.95 = 701.43 : x
  2. Step 2: Convert to fraction form
    921.05/1,378.95 = 701.43/x
  3. Step 3: Cross multiply
    921.05x = 1,378.95 × 701.43
  4. Step 4: Simplify right side
    921.05x = 967,242.70
  5. Step 5: Solve for x
    x = 967,242.70/921.05
  6. Step 6: Final answer
    x = 1,050.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.