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Finding the Fourth Proportional to 917.06, 1,261.19 and 728.33

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Solution

The fourth proportional to 917.06, 1,261.19 and 728.33 is: 1,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.06 : 1,261.19 = 728.33 : x
  2. Step 2: Convert to fraction form
    917.06/1,261.19 = 728.33/x
  3. Step 3: Cross multiply
    917.06x = 1,261.19 × 728.33
  4. Step 4: Simplify right side
    917.06x = 918,567.49
  5. Step 5: Solve for x
    x = 918,567.49/917.06
  6. Step 6: Final answer
    x = 1,001.64

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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.