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Finding the Fourth Proportional to 783.26, 1,080.60 and 503.60

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Solution

The fourth proportional to 783.26, 1,080.60 and 503.60 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,080.60 = 503.60 : x
  2. Step 2: Convert to fraction form
    783.26/1,080.60 = 503.60/x
  3. Step 3: Cross multiply
    783.26x = 1,080.60 × 503.60
  4. Step 4: Simplify right side
    783.26x = 544,190.16
  5. Step 5: Solve for x
    x = 544,190.16/783.26
  6. Step 6: Final answer
    x = 694.78

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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.