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Finding the Fourth Proportional to 687.96, 948.96 and 541.08

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Solution

The fourth proportional to 687.96, 948.96 and 541.08 is: 746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.96 : 948.96 = 541.08 : x
  2. Step 2: Convert to fraction form
    687.96/948.96 = 541.08/x
  3. Step 3: Cross multiply
    687.96x = 948.96 × 541.08
  4. Step 4: Simplify right side
    687.96x = 513,463.28
  5. Step 5: Solve for x
    x = 513,463.28/687.96
  6. Step 6: Final answer
    x = 746.36

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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.