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Finding the Fourth Proportional to 715.21, 1,071.95 and 406.42

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Solution

The fourth proportional to 715.21, 1,071.95 and 406.42 is: 609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.21 : 1,071.95 = 406.42 : x
  2. Step 2: Convert to fraction form
    715.21/1,071.95 = 406.42/x
  3. Step 3: Cross multiply
    715.21x = 1,071.95 × 406.42
  4. Step 4: Simplify right side
    715.21x = 435,661.92
  5. Step 5: Solve for x
    x = 435,661.92/715.21
  6. Step 6: Final answer
    x = 609.14

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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.