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Finding the Fourth Proportional to 773.33, 1,065.78 and 585.81

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Solution

The fourth proportional to 773.33, 1,065.78 and 585.81 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.33 : 1,065.78 = 585.81 : x
  2. Step 2: Convert to fraction form
    773.33/1,065.78 = 585.81/x
  3. Step 3: Cross multiply
    773.33x = 1,065.78 × 585.81
  4. Step 4: Simplify right side
    773.33x = 624,344.58
  5. Step 5: Solve for x
    x = 624,344.58/773.33
  6. Step 6: Final answer
    x = 807.35

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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.