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Finding the Fourth Proportional to 859.68, 1,294.65 and 644.76

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Solution

The fourth proportional to 859.68, 1,294.65 and 644.76 is: 970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,294.65 = 644.76 : x
  2. Step 2: Convert to fraction form
    859.68/1,294.65 = 644.76/x
  3. Step 3: Cross multiply
    859.68x = 1,294.65 × 644.76
  4. Step 4: Simplify right side
    859.68x = 834,738.53
  5. Step 5: Solve for x
    x = 834,738.53/859.68
  6. Step 6: Final answer
    x = 970.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.