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Finding the Fourth Proportional to 1,148.92, 1,720.32 and 784.42

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Solution

The fourth proportional to 1,148.92, 1,720.32 and 784.42 is: 1,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.92 : 1,720.32 = 784.42 : x
  2. Step 2: Convert to fraction form
    1,148.92/1,720.32 = 784.42/x
  3. Step 3: Cross multiply
    1,148.92x = 1,720.32 × 784.42
  4. Step 4: Simplify right side
    1,148.92x = 1,349,453.41
  5. Step 5: Solve for x
    x = 1,349,453.41/1,148.92
  6. Step 6: Final answer
    x = 1,174.54

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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.