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Finding the Fourth Proportional to 751.86, 1,120.65 and 692.31

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Solution

The fourth proportional to 751.86, 1,120.65 and 692.31 is: 1,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.86 : 1,120.65 = 692.31 : x
  2. Step 2: Convert to fraction form
    751.86/1,120.65 = 692.31/x
  3. Step 3: Cross multiply
    751.86x = 1,120.65 × 692.31
  4. Step 4: Simplify right side
    751.86x = 775,837.20
  5. Step 5: Solve for x
    x = 775,837.20/751.86
  6. Step 6: Final answer
    x = 1,031.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.