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Finding the Fourth Proportional to 715.34, 1,074.04 and 407.81

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Solution

The fourth proportional to 715.34, 1,074.04 and 407.81 is: 612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.34 : 1,074.04 = 407.81 : x
  2. Step 2: Convert to fraction form
    715.34/1,074.04 = 407.81/x
  3. Step 3: Cross multiply
    715.34x = 1,074.04 × 407.81
  4. Step 4: Simplify right side
    715.34x = 438,005.92
  5. Step 5: Solve for x
    x = 438,005.92/715.34
  6. Step 6: Final answer
    x = 612.30

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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.