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Finding the Fourth Proportional to 1,120.58, 1,678.60 and 564.95

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Solution

The fourth proportional to 1,120.58, 1,678.60 and 564.95 is: 846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.58 : 1,678.60 = 564.95 : x
  2. Step 2: Convert to fraction form
    1,120.58/1,678.60 = 564.95/x
  3. Step 3: Cross multiply
    1,120.58x = 1,678.60 × 564.95
  4. Step 4: Simplify right side
    1,120.58x = 948,323.66
  5. Step 5: Solve for x
    x = 948,323.66/1,120.58
  6. Step 6: Final answer
    x = 846.28

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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.