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Finding the Fourth Proportional to 860.66, 1,285.16 and 675.98

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Solution

The fourth proportional to 860.66, 1,285.16 and 675.98 is: 1,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.66 : 1,285.16 = 675.98 : x
  2. Step 2: Convert to fraction form
    860.66/1,285.16 = 675.98/x
  3. Step 3: Cross multiply
    860.66x = 1,285.16 × 675.98
  4. Step 4: Simplify right side
    860.66x = 868,732.65
  5. Step 5: Solve for x
    x = 868,732.65/860.66
  6. Step 6: Final answer
    x = 1,009.39

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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.