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Finding the Fourth Proportional to 1,057.81, 1,458.53 and 847.81

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Solution

The fourth proportional to 1,057.81, 1,458.53 and 847.81 is: 1,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.81 : 1,458.53 = 847.81 : x
  2. Step 2: Convert to fraction form
    1,057.81/1,458.53 = 847.81/x
  3. Step 3: Cross multiply
    1,057.81x = 1,458.53 × 847.81
  4. Step 4: Simplify right side
    1,057.81x = 1,236,552.08
  5. Step 5: Solve for x
    x = 1,236,552.08/1,057.81
  6. Step 6: Final answer
    x = 1,168.98

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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.