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Finding the Fourth Proportional to 942.76, 1,300.99 and 523.14

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Solution

The fourth proportional to 942.76, 1,300.99 and 523.14 is: 721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.76 : 1,300.99 = 523.14 : x
  2. Step 2: Convert to fraction form
    942.76/1,300.99 = 523.14/x
  3. Step 3: Cross multiply
    942.76x = 1,300.99 × 523.14
  4. Step 4: Simplify right side
    942.76x = 680,599.91
  5. Step 5: Solve for x
    x = 680,599.91/942.76
  6. Step 6: Final answer
    x = 721.92

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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.