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Finding the Fourth Proportional to 783.92, 1,080.33 and 562.49

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Solution

The fourth proportional to 783.92, 1,080.33 and 562.49 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.92 : 1,080.33 = 562.49 : x
  2. Step 2: Convert to fraction form
    783.92/1,080.33 = 562.49/x
  3. Step 3: Cross multiply
    783.92x = 1,080.33 × 562.49
  4. Step 4: Simplify right side
    783.92x = 607,671.36
  5. Step 5: Solve for x
    x = 607,671.36/783.92
  6. Step 6: Final answer
    x = 775.17

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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.