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Finding the Fourth Proportional to 687.46, 948.57 and 491.83

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Solution

The fourth proportional to 687.46, 948.57 and 491.83 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.46 : 948.57 = 491.83 : x
  2. Step 2: Convert to fraction form
    687.46/948.57 = 491.83/x
  3. Step 3: Cross multiply
    687.46x = 948.57 × 491.83
  4. Step 4: Simplify right side
    687.46x = 466,535.18
  5. Step 5: Solve for x
    x = 466,535.18/687.46
  6. Step 6: Final answer
    x = 678.64

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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.