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Finding the Fourth Proportional to 873.80, 1,310.70 and 644.30

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Solution

The fourth proportional to 873.80, 1,310.70 and 644.30 is: 966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.80 : 1,310.70 = 644.30 : x
  2. Step 2: Convert to fraction form
    873.80/1,310.70 = 644.30/x
  3. Step 3: Cross multiply
    873.80x = 1,310.70 × 644.30
  4. Step 4: Simplify right side
    873.80x = 844,484.01
  5. Step 5: Solve for x
    x = 844,484.01/873.80
  6. Step 6: Final answer
    x = 966.45

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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.