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Finding the Fourth Proportional to 1,447.16, 1,997.08 and 784.01

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Solution

The fourth proportional to 1,447.16, 1,997.08 and 784.01 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.16 : 1,997.08 = 784.01 : x
  2. Step 2: Convert to fraction form
    1,447.16/1,997.08 = 784.01/x
  3. Step 3: Cross multiply
    1,447.16x = 1,997.08 × 784.01
  4. Step 4: Simplify right side
    1,447.16x = 1,565,730.69
  5. Step 5: Solve for x
    x = 1,565,730.69/1,447.16
  6. Step 6: Final answer
    x = 1,081.93

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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.