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Finding the Fourth Proportional to 716.54, 987.47 and 492.54

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Solution

The fourth proportional to 716.54, 987.47 and 492.54 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.54 : 987.47 = 492.54 : x
  2. Step 2: Convert to fraction form
    716.54/987.47 = 492.54/x
  3. Step 3: Cross multiply
    716.54x = 987.47 × 492.54
  4. Step 4: Simplify right side
    716.54x = 486,363.54
  5. Step 5: Solve for x
    x = 486,363.54/716.54
  6. Step 6: Final answer
    x = 678.77

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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.