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Finding the Fourth Proportional to 869.37, 1,302.36 and 538.74

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Solution

The fourth proportional to 869.37, 1,302.36 and 538.74 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.37 : 1,302.36 = 538.74 : x
  2. Step 2: Convert to fraction form
    869.37/1,302.36 = 538.74/x
  3. Step 3: Cross multiply
    869.37x = 1,302.36 × 538.74
  4. Step 4: Simplify right side
    869.37x = 701,633.43
  5. Step 5: Solve for x
    x = 701,633.43/869.37
  6. Step 6: Final answer
    x = 807.06

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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.