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Finding the Fourth Proportional to 875.63, 1,310.61 and 644.47

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Solution

The fourth proportional to 875.63, 1,310.61 and 644.47 is: 964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.63 : 1,310.61 = 644.47 : x
  2. Step 2: Convert to fraction form
    875.63/1,310.61 = 644.47/x
  3. Step 3: Cross multiply
    875.63x = 1,310.61 × 644.47
  4. Step 4: Simplify right side
    875.63x = 844,648.83
  5. Step 5: Solve for x
    x = 844,648.83/875.63
  6. Step 6: Final answer
    x = 964.62

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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.