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Finding the Fourth Proportional to 1,027.39, 1,531.32 and 969.01

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Solution

The fourth proportional to 1,027.39, 1,531.32 and 969.01 is: 1,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.39 : 1,531.32 = 969.01 : x
  2. Step 2: Convert to fraction form
    1,027.39/1,531.32 = 969.01/x
  3. Step 3: Cross multiply
    1,027.39x = 1,531.32 × 969.01
  4. Step 4: Simplify right side
    1,027.39x = 1,483,871.00
  5. Step 5: Solve for x
    x = 1,483,871.00/1,027.39
  6. Step 6: Final answer
    x = 1,444.31

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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.