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Finding the Fourth Proportional to 715.24, 1,072 and 368.04

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Solution

The fourth proportional to 715.24, 1,072 and 368.04 is: 551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.24 : 1,072 = 368.04 : x
  2. Step 2: Convert to fraction form
    715.24/1,072 = 368.04/x
  3. Step 3: Cross multiply
    715.24x = 1,072 × 368.04
  4. Step 4: Simplify right side
    715.24x = 394,538.88
  5. Step 5: Solve for x
    x = 394,538.88/715.24
  6. Step 6: Final answer
    x = 551.62

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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.