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Finding the Fourth Proportional to 985.66, 1,360.19 and 537.53

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Solution

The fourth proportional to 985.66, 1,360.19 and 537.53 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.66 : 1,360.19 = 537.53 : x
  2. Step 2: Convert to fraction form
    985.66/1,360.19 = 537.53/x
  3. Step 3: Cross multiply
    985.66x = 1,360.19 × 537.53
  4. Step 4: Simplify right side
    985.66x = 731,147.68
  5. Step 5: Solve for x
    x = 731,147.68/985.66
  6. Step 6: Final answer
    x = 741.78

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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.