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Finding the Fourth Proportional to 861.84, 1,297.80 and 620.05

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Solution

The fourth proportional to 861.84, 1,297.80 and 620.05 is: 933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,297.80 = 620.05 : x
  2. Step 2: Convert to fraction form
    861.84/1,297.80 = 620.05/x
  3. Step 3: Cross multiply
    861.84x = 1,297.80 × 620.05
  4. Step 4: Simplify right side
    861.84x = 804,700.89
  5. Step 5: Solve for x
    x = 804,700.89/861.84
  6. Step 6: Final answer
    x = 933.70

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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.