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Finding the Fourth Proportional to 1,038.56, 1,558.00 and 344.99

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Solution

The fourth proportional to 1,038.56, 1,558.00 and 344.99 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.56 : 1,558.00 = 344.99 : x
  2. Step 2: Convert to fraction form
    1,038.56/1,558.00 = 344.99/x
  3. Step 3: Cross multiply
    1,038.56x = 1,558.00 × 344.99
  4. Step 4: Simplify right side
    1,038.56x = 537,498.75
  5. Step 5: Solve for x
    x = 537,498.75/1,038.56
  6. Step 6: Final answer
    x = 517.54

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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.