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Finding the Fourth Proportional to 783.64, 1,073.45 and 775

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Solution

The fourth proportional to 783.64, 1,073.45 and 775 is: 1,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.64 : 1,073.45 = 775 : x
  2. Step 2: Convert to fraction form
    783.64/1,073.45 = 775/x
  3. Step 3: Cross multiply
    783.64x = 1,073.45 × 775
  4. Step 4: Simplify right side
    783.64x = 831,923.75
  5. Step 5: Solve for x
    x = 831,923.75/783.64
  6. Step 6: Final answer
    x = 1,061.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.