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Finding the Fourth Proportional to 912.57, 1,259.87 and 602.97

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Solution

The fourth proportional to 912.57, 1,259.87 and 602.97 is: 832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.57 : 1,259.87 = 602.97 : x
  2. Step 2: Convert to fraction form
    912.57/1,259.87 = 602.97/x
  3. Step 3: Cross multiply
    912.57x = 1,259.87 × 602.97
  4. Step 4: Simplify right side
    912.57x = 759,663.81
  5. Step 5: Solve for x
    x = 759,663.81/912.57
  6. Step 6: Final answer
    x = 832.44

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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.