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Finding the Fourth Proportional to 1,027.30, 1,538.52 and 735.16

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Solution

The fourth proportional to 1,027.30, 1,538.52 and 735.16 is: 1,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.30 : 1,538.52 = 735.16 : x
  2. Step 2: Convert to fraction form
    1,027.30/1,538.52 = 735.16/x
  3. Step 3: Cross multiply
    1,027.30x = 1,538.52 × 735.16
  4. Step 4: Simplify right side
    1,027.30x = 1,131,058.36
  5. Step 5: Solve for x
    x = 1,131,058.36/1,027.30
  6. Step 6: Final answer
    x = 1,101.00

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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.