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Finding the Fourth Proportional to 869.08, 1,302.94 and 452.42

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Solution

The fourth proportional to 869.08, 1,302.94 and 452.42 is: 678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.08 : 1,302.94 = 452.42 : x
  2. Step 2: Convert to fraction form
    869.08/1,302.94 = 452.42/x
  3. Step 3: Cross multiply
    869.08x = 1,302.94 × 452.42
  4. Step 4: Simplify right side
    869.08x = 589,478.00
  5. Step 5: Solve for x
    x = 589,478.00/869.08
  6. Step 6: Final answer
    x = 678.28

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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.