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Finding the Fourth Proportional to 942.68, 1,300.90 and 523.04

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Solution

The fourth proportional to 942.68, 1,300.90 and 523.04 is: 721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.68 : 1,300.90 = 523.04 : x
  2. Step 2: Convert to fraction form
    942.68/1,300.90 = 523.04/x
  3. Step 3: Cross multiply
    942.68x = 1,300.90 × 523.04
  4. Step 4: Simplify right side
    942.68x = 680,422.74
  5. Step 5: Solve for x
    x = 680,422.74/942.68
  6. Step 6: Final answer
    x = 721.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.