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Finding the Fourth Proportional to 768.60, 1,059.45 and 705.04

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Solution

The fourth proportional to 768.60, 1,059.45 and 705.04 is: 971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.60 : 1,059.45 = 705.04 : x
  2. Step 2: Convert to fraction form
    768.60/1,059.45 = 705.04/x
  3. Step 3: Cross multiply
    768.60x = 1,059.45 × 705.04
  4. Step 4: Simplify right side
    768.60x = 746,954.63
  5. Step 5: Solve for x
    x = 746,954.63/768.60
  6. Step 6: Final answer
    x = 971.84

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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.