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Finding the Fourth Proportional to 869.58, 1,302.63 and 522.73

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Solution

The fourth proportional to 869.58, 1,302.63 and 522.73 is: 783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.58 : 1,302.63 = 522.73 : x
  2. Step 2: Convert to fraction form
    869.58/1,302.63 = 522.73/x
  3. Step 3: Cross multiply
    869.58x = 1,302.63 × 522.73
  4. Step 4: Simplify right side
    869.58x = 680,921.83
  5. Step 5: Solve for x
    x = 680,921.83/869.58
  6. Step 6: Final answer
    x = 783.05

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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.