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Finding the Fourth Proportional to 1,220.26, 1,830.39 and 975.64

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Solution

The fourth proportional to 1,220.26, 1,830.39 and 975.64 is: 1,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.26 : 1,830.39 = 975.64 : x
  2. Step 2: Convert to fraction form
    1,220.26/1,830.39 = 975.64/x
  3. Step 3: Cross multiply
    1,220.26x = 1,830.39 × 975.64
  4. Step 4: Simplify right side
    1,220.26x = 1,785,801.70
  5. Step 5: Solve for x
    x = 1,785,801.70/1,220.26
  6. Step 6: Final answer
    x = 1,463.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.