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Finding the Fourth Proportional to 715.10, 1,071.27 and 606.62

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Solution

The fourth proportional to 715.10, 1,071.27 and 606.62 is: 908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.10 : 1,071.27 = 606.62 : x
  2. Step 2: Convert to fraction form
    715.10/1,071.27 = 606.62/x
  3. Step 3: Cross multiply
    715.10x = 1,071.27 × 606.62
  4. Step 4: Simplify right side
    715.10x = 649,853.81
  5. Step 5: Solve for x
    x = 649,853.81/715.10
  6. Step 6: Final answer
    x = 908.76

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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.