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Finding the Fourth Proportional to 1,068.12, 1,600.42 and 656.39

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Solution

The fourth proportional to 1,068.12, 1,600.42 and 656.39 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.12 : 1,600.42 = 656.39 : x
  2. Step 2: Convert to fraction form
    1,068.12/1,600.42 = 656.39/x
  3. Step 3: Cross multiply
    1,068.12x = 1,600.42 × 656.39
  4. Step 4: Simplify right side
    1,068.12x = 1,050,495.68
  5. Step 5: Solve for x
    x = 1,050,495.68/1,068.12
  6. Step 6: Final answer
    x = 983.50

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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.