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Finding the Fourth Proportional to 1,068.49, 1,474.26 and 626.47

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Solution

The fourth proportional to 1,068.49, 1,474.26 and 626.47 is: 864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.49 : 1,474.26 = 626.47 : x
  2. Step 2: Convert to fraction form
    1,068.49/1,474.26 = 626.47/x
  3. Step 3: Cross multiply
    1,068.49x = 1,474.26 × 626.47
  4. Step 4: Simplify right side
    1,068.49x = 923,579.66
  5. Step 5: Solve for x
    x = 923,579.66/1,068.49
  6. Step 6: Final answer
    x = 864.38

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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.