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Finding the Fourth Proportional to 870.41, 1,201.38 and 538.64

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Solution

The fourth proportional to 870.41, 1,201.38 and 538.64 is: 743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.41 : 1,201.38 = 538.64 : x
  2. Step 2: Convert to fraction form
    870.41/1,201.38 = 538.64/x
  3. Step 3: Cross multiply
    870.41x = 1,201.38 × 538.64
  4. Step 4: Simplify right side
    870.41x = 647,107.34
  5. Step 5: Solve for x
    x = 647,107.34/870.41
  6. Step 6: Final answer
    x = 743.46

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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.