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Finding the Fourth Proportional to 715.94, 988.02 and 467.42

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Solution

The fourth proportional to 715.94, 988.02 and 467.42 is: 645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 988.02 = 467.42 : x
  2. Step 2: Convert to fraction form
    715.94/988.02 = 467.42/x
  3. Step 3: Cross multiply
    715.94x = 988.02 × 467.42
  4. Step 4: Simplify right side
    715.94x = 461,820.31
  5. Step 5: Solve for x
    x = 461,820.31/715.94
  6. Step 6: Final answer
    x = 645.05

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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.