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Finding the Fourth Proportional to 715.48, 1,071.38 and 634.08

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Solution

The fourth proportional to 715.48, 1,071.38 and 634.08 is: 949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 1,071.38 = 634.08 : x
  2. Step 2: Convert to fraction form
    715.48/1,071.38 = 634.08/x
  3. Step 3: Cross multiply
    715.48x = 1,071.38 × 634.08
  4. Step 4: Simplify right side
    715.48x = 679,340.63
  5. Step 5: Solve for x
    x = 679,340.63/715.48
  6. Step 6: Final answer
    x = 949.49

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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.