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Finding the Fourth Proportional to 771.30, 1,064.69 and 593.91

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Solution

The fourth proportional to 771.30, 1,064.69 and 593.91 is: 819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,064.69 = 593.91 : x
  2. Step 2: Convert to fraction form
    771.30/1,064.69 = 593.91/x
  3. Step 3: Cross multiply
    771.30x = 1,064.69 × 593.91
  4. Step 4: Simplify right side
    771.30x = 632,327.07
  5. Step 5: Solve for x
    x = 632,327.07/771.30
  6. Step 6: Final answer
    x = 819.82

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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.