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Finding the Fourth Proportional to 917.13, 1,374.24 and 734.46

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Solution

The fourth proportional to 917.13, 1,374.24 and 734.46 is: 1,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.13 : 1,374.24 = 734.46 : x
  2. Step 2: Convert to fraction form
    917.13/1,374.24 = 734.46/x
  3. Step 3: Cross multiply
    917.13x = 1,374.24 × 734.46
  4. Step 4: Simplify right side
    917.13x = 1,009,324.31
  5. Step 5: Solve for x
    x = 1,009,324.31/917.13
  6. Step 6: Final answer
    x = 1,100.52

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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.