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Finding the Fourth Proportional to 1,038.51, 1,558.49 and 461.43

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Solution

The fourth proportional to 1,038.51, 1,558.49 and 461.43 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.51 : 1,558.49 = 461.43 : x
  2. Step 2: Convert to fraction form
    1,038.51/1,558.49 = 461.43/x
  3. Step 3: Cross multiply
    1,038.51x = 1,558.49 × 461.43
  4. Step 4: Simplify right side
    1,038.51x = 719,131.73
  5. Step 5: Solve for x
    x = 719,131.73/1,038.51
  6. Step 6: Final answer
    x = 692.46

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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.