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Finding the Fourth Proportional to 1,038.72, 1,558.77 and 955.29

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Solution

The fourth proportional to 1,038.72, 1,558.77 and 955.29 is: 1,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.72 : 1,558.77 = 955.29 : x
  2. Step 2: Convert to fraction form
    1,038.72/1,558.77 = 955.29/x
  3. Step 3: Cross multiply
    1,038.72x = 1,558.77 × 955.29
  4. Step 4: Simplify right side
    1,038.72x = 1,489,077.39
  5. Step 5: Solve for x
    x = 1,489,077.39/1,038.72
  6. Step 6: Final answer
    x = 1,433.57

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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.