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Finding the Fourth Proportional to 782.42, 1,172.64 and 392.58

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Solution

The fourth proportional to 782.42, 1,172.64 and 392.58 is: 588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.42 : 1,172.64 = 392.58 : x
  2. Step 2: Convert to fraction form
    782.42/1,172.64 = 392.58/x
  3. Step 3: Cross multiply
    782.42x = 1,172.64 × 392.58
  4. Step 4: Simplify right side
    782.42x = 460,355.01
  5. Step 5: Solve for x
    x = 460,355.01/782.42
  6. Step 6: Final answer
    x = 588.37

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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.