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Finding the Fourth Proportional to 759.82, 1,047.85 and 507.30

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Solution

The fourth proportional to 759.82, 1,047.85 and 507.30 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.82 : 1,047.85 = 507.30 : x
  2. Step 2: Convert to fraction form
    759.82/1,047.85 = 507.30/x
  3. Step 3: Cross multiply
    759.82x = 1,047.85 × 507.30
  4. Step 4: Simplify right side
    759.82x = 531,574.31
  5. Step 5: Solve for x
    x = 531,574.31/759.82
  6. Step 6: Final answer
    x = 699.61

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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.