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Finding the Fourth Proportional to 1,038.73, 1,558.17 and 345.37

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Solution

The fourth proportional to 1,038.73, 1,558.17 and 345.37 is: 518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.73 : 1,558.17 = 345.37 : x
  2. Step 2: Convert to fraction form
    1,038.73/1,558.17 = 345.37/x
  3. Step 3: Cross multiply
    1,038.73x = 1,558.17 × 345.37
  4. Step 4: Simplify right side
    1,038.73x = 538,145.17
  5. Step 5: Solve for x
    x = 538,145.17/1,038.73
  6. Step 6: Final answer
    x = 518.08

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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.