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Finding the Fourth Proportional to 783.27, 1,080.66 and 549.99

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Solution

The fourth proportional to 783.27, 1,080.66 and 549.99 is: 758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.27 : 1,080.66 = 549.99 : x
  2. Step 2: Convert to fraction form
    783.27/1,080.66 = 549.99/x
  3. Step 3: Cross multiply
    783.27x = 1,080.66 × 549.99
  4. Step 4: Simplify right side
    783.27x = 594,352.19
  5. Step 5: Solve for x
    x = 594,352.19/783.27
  6. Step 6: Final answer
    x = 758.81

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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.