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Finding the Fourth Proportional to 715.65, 1,072.88 and 442.04

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Solution

The fourth proportional to 715.65, 1,072.88 and 442.04 is: 662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.65 : 1,072.88 = 442.04 : x
  2. Step 2: Convert to fraction form
    715.65/1,072.88 = 442.04/x
  3. Step 3: Cross multiply
    715.65x = 1,072.88 × 442.04
  4. Step 4: Simplify right side
    715.65x = 474,249.96
  5. Step 5: Solve for x
    x = 474,249.96/715.65
  6. Step 6: Final answer
    x = 662.69

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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.