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Finding the Fourth Proportional to 705.60, 1,052.32 and 636.48

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Solution

The fourth proportional to 705.60, 1,052.32 and 636.48 is: 949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,052.32 = 636.48 : x
  2. Step 2: Convert to fraction form
    705.60/1,052.32 = 636.48/x
  3. Step 3: Cross multiply
    705.60x = 1,052.32 × 636.48
  4. Step 4: Simplify right side
    705.60x = 669,780.63
  5. Step 5: Solve for x
    x = 669,780.63/705.60
  6. Step 6: Final answer
    x = 949.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.