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Finding the Fourth Proportional to 875.00, 1,309.77 and 644.15

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Solution

The fourth proportional to 875.00, 1,309.77 and 644.15 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.00 : 1,309.77 = 644.15 : x
  2. Step 2: Convert to fraction form
    875.00/1,309.77 = 644.15/x
  3. Step 3: Cross multiply
    875.00x = 1,309.77 × 644.15
  4. Step 4: Simplify right side
    875.00x = 843,691.62
  5. Step 5: Solve for x
    x = 843,691.62/875.00
  6. Step 6: Final answer
    x = 964.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.