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Finding the Fourth Proportional to 1,399.55, 2,099.31 and 915.68

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Solution

The fourth proportional to 1,399.55, 2,099.31 and 915.68 is: 1,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.55 : 2,099.31 = 915.68 : x
  2. Step 2: Convert to fraction form
    1,399.55/2,099.31 = 915.68/x
  3. Step 3: Cross multiply
    1,399.55x = 2,099.31 × 915.68
  4. Step 4: Simplify right side
    1,399.55x = 1,922,285.68
  5. Step 5: Solve for x
    x = 1,922,285.68/1,399.55
  6. Step 6: Final answer
    x = 1,373.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.