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Finding the Fourth Proportional to 783.89, 1,080.78 and 503.66

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Solution

The fourth proportional to 783.89, 1,080.78 and 503.66 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.89 : 1,080.78 = 503.66 : x
  2. Step 2: Convert to fraction form
    783.89/1,080.78 = 503.66/x
  3. Step 3: Cross multiply
    783.89x = 1,080.78 × 503.66
  4. Step 4: Simplify right side
    783.89x = 544,345.65
  5. Step 5: Solve for x
    x = 544,345.65/783.89
  6. Step 6: Final answer
    x = 694.42

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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.