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Finding the Fourth Proportional to 885.92, 1,221.54 and 782.24

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Solution

The fourth proportional to 885.92, 1,221.54 and 782.24 is: 1,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.92 : 1,221.54 = 782.24 : x
  2. Step 2: Convert to fraction form
    885.92/1,221.54 = 782.24/x
  3. Step 3: Cross multiply
    885.92x = 1,221.54 × 782.24
  4. Step 4: Simplify right side
    885.92x = 955,537.45
  5. Step 5: Solve for x
    x = 955,537.45/885.92
  6. Step 6: Final answer
    x = 1,078.58

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1.5x scale

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.