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Finding the Fourth Proportional to 783.72, 1,080.98 and 503.96

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Solution

The fourth proportional to 783.72, 1,080.98 and 503.96 is: 695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.72 : 1,080.98 = 503.96 : x
  2. Step 2: Convert to fraction form
    783.72/1,080.98 = 503.96/x
  3. Step 3: Cross multiply
    783.72x = 1,080.98 × 503.96
  4. Step 4: Simplify right side
    783.72x = 544,770.68
  5. Step 5: Solve for x
    x = 544,770.68/783.72
  6. Step 6: Final answer
    x = 695.11

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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.