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Finding the Fourth Proportional to 860.79, 1,289.30 and 841.77

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Solution

The fourth proportional to 860.79, 1,289.30 and 841.77 is: 1,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.79 : 1,289.30 = 841.77 : x
  2. Step 2: Convert to fraction form
    860.79/1,289.30 = 841.77/x
  3. Step 3: Cross multiply
    860.79x = 1,289.30 × 841.77
  4. Step 4: Simplify right side
    860.79x = 1,085,294.51
  5. Step 5: Solve for x
    x = 1,085,294.51/860.79
  6. Step 6: Final answer
    x = 1,260.81

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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.