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Finding the Fourth Proportional to 687.68, 947.89 and 538.04

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Solution

The fourth proportional to 687.68, 947.89 and 538.04 is: 741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.68 : 947.89 = 538.04 : x
  2. Step 2: Convert to fraction form
    687.68/947.89 = 538.04/x
  3. Step 3: Cross multiply
    687.68x = 947.89 × 538.04
  4. Step 4: Simplify right side
    687.68x = 509,995.31
  5. Step 5: Solve for x
    x = 509,995.31/687.68
  6. Step 6: Final answer
    x = 741.62

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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.