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Finding the Fourth Proportional to 767.55, 1,051.84 and 693.74

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Solution

The fourth proportional to 767.55, 1,051.84 and 693.74 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.55 : 1,051.84 = 693.74 : x
  2. Step 2: Convert to fraction form
    767.55/1,051.84 = 693.74/x
  3. Step 3: Cross multiply
    767.55x = 1,051.84 × 693.74
  4. Step 4: Simplify right side
    767.55x = 729,703.48
  5. Step 5: Solve for x
    x = 729,703.48/767.55
  6. Step 6: Final answer
    x = 950.69

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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.