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Finding the Fourth Proportional to 715.68, 988.08 and 494.64

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Solution

The fourth proportional to 715.68, 988.08 and 494.64 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.68 : 988.08 = 494.64 : x
  2. Step 2: Convert to fraction form
    715.68/988.08 = 494.64/x
  3. Step 3: Cross multiply
    715.68x = 988.08 × 494.64
  4. Step 4: Simplify right side
    715.68x = 488,743.89
  5. Step 5: Solve for x
    x = 488,743.89/715.68
  6. Step 6: Final answer
    x = 682.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.