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Finding the Fourth Proportional to 771.21, 1,068.72 and 756.63

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Solution

The fourth proportional to 771.21, 1,068.72 and 756.63 is: 1,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.21 : 1,068.72 = 756.63 : x
  2. Step 2: Convert to fraction form
    771.21/1,068.72 = 756.63/x
  3. Step 3: Cross multiply
    771.21x = 1,068.72 × 756.63
  4. Step 4: Simplify right side
    771.21x = 808,625.61
  5. Step 5: Solve for x
    x = 808,625.61/771.21
  6. Step 6: Final answer
    x = 1,048.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.