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Finding the Fourth Proportional to 715.34, 1,074.81 and 455.46

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Solution

The fourth proportional to 715.34, 1,074.81 and 455.46 is: 684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.34 : 1,074.81 = 455.46 : x
  2. Step 2: Convert to fraction form
    715.34/1,074.81 = 455.46/x
  3. Step 3: Cross multiply
    715.34x = 1,074.81 × 455.46
  4. Step 4: Simplify right side
    715.34x = 489,533.82
  5. Step 5: Solve for x
    x = 489,533.82/715.34
  6. Step 6: Final answer
    x = 684.33

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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.