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Finding the Fourth Proportional to 860.19, 1,294.91 and 734.91

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Solution

The fourth proportional to 860.19, 1,294.91 and 734.91 is: 1,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.19 : 1,294.91 = 734.91 : x
  2. Step 2: Convert to fraction form
    860.19/1,294.91 = 734.91/x
  3. Step 3: Cross multiply
    860.19x = 1,294.91 × 734.91
  4. Step 4: Simplify right side
    860.19x = 951,644.15
  5. Step 5: Solve for x
    x = 951,644.15/860.19
  6. Step 6: Final answer
    x = 1,106.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.