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Finding the Fourth Proportional to 783.13, 1,080.93 and 517.75

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Solution

The fourth proportional to 783.13, 1,080.93 and 517.75 is: 714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,080.93 = 517.75 : x
  2. Step 2: Convert to fraction form
    783.13/1,080.93 = 517.75/x
  3. Step 3: Cross multiply
    783.13x = 1,080.93 × 517.75
  4. Step 4: Simplify right side
    783.13x = 559,651.51
  5. Step 5: Solve for x
    x = 559,651.51/783.13
  6. Step 6: Final answer
    x = 714.63

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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.