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Finding the Fourth Proportional to 718.84, 1,073.21 and 650.80

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Solution

The fourth proportional to 718.84, 1,073.21 and 650.80 is: 971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.84 : 1,073.21 = 650.80 : x
  2. Step 2: Convert to fraction form
    718.84/1,073.21 = 650.80/x
  3. Step 3: Cross multiply
    718.84x = 1,073.21 × 650.80
  4. Step 4: Simplify right side
    718.84x = 698,445.07
  5. Step 5: Solve for x
    x = 698,445.07/718.84
  6. Step 6: Final answer
    x = 971.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.