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Finding the Fourth Proportional to 869.36, 1,302.72 and 522.31

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Solution

The fourth proportional to 869.36, 1,302.72 and 522.31 is: 782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.36 : 1,302.72 = 522.31 : x
  2. Step 2: Convert to fraction form
    869.36/1,302.72 = 522.31/x
  3. Step 3: Cross multiply
    869.36x = 1,302.72 × 522.31
  4. Step 4: Simplify right side
    869.36x = 680,422.39
  5. Step 5: Solve for x
    x = 680,422.39/869.36
  6. Step 6: Final answer
    x = 782.67

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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.