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Finding the Fourth Proportional to 1,285.83, 1,773.23 and 1,037.03

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Solution

The fourth proportional to 1,285.83, 1,773.23 and 1,037.03 is: 1,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.83 : 1,773.23 = 1,037.03 : x
  2. Step 2: Convert to fraction form
    1,285.83/1,773.23 = 1,037.03/x
  3. Step 3: Cross multiply
    1,285.83x = 1,773.23 × 1,037.03
  4. Step 4: Simplify right side
    1,285.83x = 1,838,878.66
  5. Step 5: Solve for x
    x = 1,838,878.66/1,285.83
  6. Step 6: Final answer
    x = 1,430.11

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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.