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Finding the Fourth Proportional to 1,033.55, 1,558.05 and 945.98

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Solution

The fourth proportional to 1,033.55, 1,558.05 and 945.98 is: 1,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.55 : 1,558.05 = 945.98 : x
  2. Step 2: Convert to fraction form
    1,033.55/1,558.05 = 945.98/x
  3. Step 3: Cross multiply
    1,033.55x = 1,558.05 × 945.98
  4. Step 4: Simplify right side
    1,033.55x = 1,473,879.41
  5. Step 5: Solve for x
    x = 1,473,879.41/1,033.55
  6. Step 6: Final answer
    x = 1,426.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.