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Finding the Fourth Proportional to 860.53, 1,184.94 and 580.66

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Solution

The fourth proportional to 860.53, 1,184.94 and 580.66 is: 799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.53 : 1,184.94 = 580.66 : x
  2. Step 2: Convert to fraction form
    860.53/1,184.94 = 580.66/x
  3. Step 3: Cross multiply
    860.53x = 1,184.94 × 580.66
  4. Step 4: Simplify right side
    860.53x = 688,047.26
  5. Step 5: Solve for x
    x = 688,047.26/860.53
  6. Step 6: Final answer
    x = 799.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.