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Finding the Fourth Proportional to 771.64, 1,065.90 and 735.19

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Solution

The fourth proportional to 771.64, 1,065.90 and 735.19 is: 1,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,065.90 = 735.19 : x
  2. Step 2: Convert to fraction form
    771.64/1,065.90 = 735.19/x
  3. Step 3: Cross multiply
    771.64x = 1,065.90 × 735.19
  4. Step 4: Simplify right side
    771.64x = 783,639.02
  5. Step 5: Solve for x
    x = 783,639.02/771.64
  6. Step 6: Final answer
    x = 1,015.55

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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.