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Finding the Fourth Proportional to 860.14, 1,186.77 and 580.88

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Solution

The fourth proportional to 860.14, 1,186.77 and 580.88 is: 801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.14 : 1,186.77 = 580.88 : x
  2. Step 2: Convert to fraction form
    860.14/1,186.77 = 580.88/x
  3. Step 3: Cross multiply
    860.14x = 1,186.77 × 580.88
  4. Step 4: Simplify right side
    860.14x = 689,370.96
  5. Step 5: Solve for x
    x = 689,370.96/860.14
  6. Step 6: Final answer
    x = 801.46

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1.5x scale

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.