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Finding the Fourth Proportional to 860.86, 1,290.13 and 628.66

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Solution

The fourth proportional to 860.86, 1,290.13 and 628.66 is: 942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,290.13 = 628.66 : x
  2. Step 2: Convert to fraction form
    860.86/1,290.13 = 628.66/x
  3. Step 3: Cross multiply
    860.86x = 1,290.13 × 628.66
  4. Step 4: Simplify right side
    860.86x = 811,053.17
  5. Step 5: Solve for x
    x = 811,053.17/860.86
  6. Step 6: Final answer
    x = 942.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.