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Finding the Fourth Proportional to 715.48, 1,074.82 and 472.48

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Solution

The fourth proportional to 715.48, 1,074.82 and 472.48 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 1,074.82 = 472.48 : x
  2. Step 2: Convert to fraction form
    715.48/1,074.82 = 472.48/x
  3. Step 3: Cross multiply
    715.48x = 1,074.82 × 472.48
  4. Step 4: Simplify right side
    715.48x = 507,830.95
  5. Step 5: Solve for x
    x = 507,830.95/715.48
  6. Step 6: Final answer
    x = 709.78

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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.