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Finding the Fourth Proportional to 1,028.49, 1,419.31 and 562.74

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Solution

The fourth proportional to 1,028.49, 1,419.31 and 562.74 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.49 : 1,419.31 = 562.74 : x
  2. Step 2: Convert to fraction form
    1,028.49/1,419.31 = 562.74/x
  3. Step 3: Cross multiply
    1,028.49x = 1,419.31 × 562.74
  4. Step 4: Simplify right side
    1,028.49x = 798,702.51
  5. Step 5: Solve for x
    x = 798,702.51/1,028.49
  6. Step 6: Final answer
    x = 776.58

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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.