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Finding the Fourth Proportional to 912.31, 1,259.20 and 663.85

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Solution

The fourth proportional to 912.31, 1,259.20 and 663.85 is: 916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.31 : 1,259.20 = 663.85 : x
  2. Step 2: Convert to fraction form
    912.31/1,259.20 = 663.85/x
  3. Step 3: Cross multiply
    912.31x = 1,259.20 × 663.85
  4. Step 4: Simplify right side
    912.31x = 835,911.51
  5. Step 5: Solve for x
    x = 835,911.51/912.31
  6. Step 6: Final answer
    x = 916.26

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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.