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Finding the Fourth Proportional to 860.79, 1,187.28 and 703.47

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Solution

The fourth proportional to 860.79, 1,187.28 and 703.47 is: 970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.79 : 1,187.28 = 703.47 : x
  2. Step 2: Convert to fraction form
    860.79/1,187.28 = 703.47/x
  3. Step 3: Cross multiply
    860.79x = 1,187.28 × 703.47
  4. Step 4: Simplify right side
    860.79x = 835,215.86
  5. Step 5: Solve for x
    x = 835,215.86/860.79
  6. Step 6: Final answer
    x = 970.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.