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Finding the Fourth Proportional to 716.07, 987.39 and 467.40

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Solution

The fourth proportional to 716.07, 987.39 and 467.40 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.07 : 987.39 = 467.40 : x
  2. Step 2: Convert to fraction form
    716.07/987.39 = 467.40/x
  3. Step 3: Cross multiply
    716.07x = 987.39 × 467.40
  4. Step 4: Simplify right side
    716.07x = 461,506.09
  5. Step 5: Solve for x
    x = 461,506.09/716.07
  6. Step 6: Final answer
    x = 644.50

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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.