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Finding the Fourth Proportional to 800.70, 1,201.56 and 740.58

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Solution

The fourth proportional to 800.70, 1,201.56 and 740.58 is: 1,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.70 : 1,201.56 = 740.58 : x
  2. Step 2: Convert to fraction form
    800.70/1,201.56 = 740.58/x
  3. Step 3: Cross multiply
    800.70x = 1,201.56 × 740.58
  4. Step 4: Simplify right side
    800.70x = 889,851.30
  5. Step 5: Solve for x
    x = 889,851.30/800.70
  6. Step 6: Final answer
    x = 1,111.34

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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.