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Finding the Fourth Proportional to 761.87, 1,051.77 and 467.30

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Solution

The fourth proportional to 761.87, 1,051.77 and 467.30 is: 645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.87 : 1,051.77 = 467.30 : x
  2. Step 2: Convert to fraction form
    761.87/1,051.77 = 467.30/x
  3. Step 3: Cross multiply
    761.87x = 1,051.77 × 467.30
  4. Step 4: Simplify right side
    761.87x = 491,496.50
  5. Step 5: Solve for x
    x = 491,496.50/761.87
  6. Step 6: Final answer
    x = 645.12

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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.