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Finding the Fourth Proportional to 715.04, 1,073.75 and 442.87

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Solution

The fourth proportional to 715.04, 1,073.75 and 442.87 is: 665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.04 : 1,073.75 = 442.87 : x
  2. Step 2: Convert to fraction form
    715.04/1,073.75 = 442.87/x
  3. Step 3: Cross multiply
    715.04x = 1,073.75 × 442.87
  4. Step 4: Simplify right side
    715.04x = 475,526.29
  5. Step 5: Solve for x
    x = 475,526.29/715.04
  6. Step 6: Final answer
    x = 665.03

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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.