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Finding the Fourth Proportional to 687.86, 948.46 and 488.75

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Solution

The fourth proportional to 687.86, 948.46 and 488.75 is: 673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 948.46 = 488.75 : x
  2. Step 2: Convert to fraction form
    687.86/948.46 = 488.75/x
  3. Step 3: Cross multiply
    687.86x = 948.46 × 488.75
  4. Step 4: Simplify right side
    687.86x = 463,560.11
  5. Step 5: Solve for x
    x = 463,560.11/687.86
  6. Step 6: Final answer
    x = 673.92

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1.5x scale

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.