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Finding the Fourth Proportional to 687.66, 948.23 and 488.44

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Solution

The fourth proportional to 687.66, 948.23 and 488.44 is: 673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.66 : 948.23 = 488.44 : x
  2. Step 2: Convert to fraction form
    687.66/948.23 = 488.44/x
  3. Step 3: Cross multiply
    687.66x = 948.23 × 488.44
  4. Step 4: Simplify right side
    687.66x = 463,156.74
  5. Step 5: Solve for x
    x = 463,156.74/687.66
  6. Step 6: Final answer
    x = 673.52

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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.