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Finding the Fourth Proportional to 1,053.80, 1,462.18 and 1,023.56

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Solution

The fourth proportional to 1,053.80, 1,462.18 and 1,023.56 is: 1,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.80 : 1,462.18 = 1,023.56 : x
  2. Step 2: Convert to fraction form
    1,053.80/1,462.18 = 1,023.56/x
  3. Step 3: Cross multiply
    1,053.80x = 1,462.18 × 1,023.56
  4. Step 4: Simplify right side
    1,053.80x = 1,496,628.96
  5. Step 5: Solve for x
    x = 1,496,628.96/1,053.80
  6. Step 6: Final answer
    x = 1,420.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.