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Finding the Fourth Proportional to 860.52, 1,282.51 and 859.16

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Solution

The fourth proportional to 860.52, 1,282.51 and 859.16 is: 1,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,282.51 = 859.16 : x
  2. Step 2: Convert to fraction form
    860.52/1,282.51 = 859.16/x
  3. Step 3: Cross multiply
    860.52x = 1,282.51 × 859.16
  4. Step 4: Simplify right side
    860.52x = 1,101,875.94
  5. Step 5: Solve for x
    x = 1,101,875.94/860.52
  6. Step 6: Final answer
    x = 1,280.47

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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.