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Finding the Fourth Proportional to 883.44, 1,220.41 and 706.16

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Solution

The fourth proportional to 883.44, 1,220.41 and 706.16 is: 975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,220.41 = 706.16 : x
  2. Step 2: Convert to fraction form
    883.44/1,220.41 = 706.16/x
  3. Step 3: Cross multiply
    883.44x = 1,220.41 × 706.16
  4. Step 4: Simplify right side
    883.44x = 861,801.19
  5. Step 5: Solve for x
    x = 861,801.19/883.44
  6. Step 6: Final answer
    x = 975.51

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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.