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Finding the Fourth Proportional to 885.35, 1,321.53 and 781.57

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Solution

The fourth proportional to 885.35, 1,321.53 and 781.57 is: 1,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.35 : 1,321.53 = 781.57 : x
  2. Step 2: Convert to fraction form
    885.35/1,321.53 = 781.57/x
  3. Step 3: Cross multiply
    885.35x = 1,321.53 × 781.57
  4. Step 4: Simplify right side
    885.35x = 1,032,857.69
  5. Step 5: Solve for x
    x = 1,032,857.69/885.35
  6. Step 6: Final answer
    x = 1,166.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.