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Finding the Fourth Proportional to 1,053.21, 1,454.35 and 660.91

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Solution

The fourth proportional to 1,053.21, 1,454.35 and 660.91 is: 912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.21 : 1,454.35 = 660.91 : x
  2. Step 2: Convert to fraction form
    1,053.21/1,454.35 = 660.91/x
  3. Step 3: Cross multiply
    1,053.21x = 1,454.35 × 660.91
  4. Step 4: Simplify right side
    1,053.21x = 961,194.46
  5. Step 5: Solve for x
    x = 961,194.46/1,053.21
  6. Step 6: Final answer
    x = 912.63

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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.