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Finding the Fourth Proportional to 912.88, 1,259.22 and 618.22

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Solution

The fourth proportional to 912.88, 1,259.22 and 618.22 is: 852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.88 : 1,259.22 = 618.22 : x
  2. Step 2: Convert to fraction form
    912.88/1,259.22 = 618.22/x
  3. Step 3: Cross multiply
    912.88x = 1,259.22 × 618.22
  4. Step 4: Simplify right side
    912.88x = 778,474.99
  5. Step 5: Solve for x
    x = 778,474.99/912.88
  6. Step 6: Final answer
    x = 852.77

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1.5x scale

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.