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Finding the Fourth Proportional to 860.48, 1,287.86 and 783.62

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Solution

The fourth proportional to 860.48, 1,287.86 and 783.62 is: 1,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.48 : 1,287.86 = 783.62 : x
  2. Step 2: Convert to fraction form
    860.48/1,287.86 = 783.62/x
  3. Step 3: Cross multiply
    860.48x = 1,287.86 × 783.62
  4. Step 4: Simplify right side
    860.48x = 1,009,182.50
  5. Step 5: Solve for x
    x = 1,009,182.50/860.48
  6. Step 6: Final answer
    x = 1,172.82

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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.