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Finding the Fourth Proportional to 1,299.08, 1,948.62 and 558.53

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Solution

The fourth proportional to 1,299.08, 1,948.62 and 558.53 is: 837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.08 : 1,948.62 = 558.53 : x
  2. Step 2: Convert to fraction form
    1,299.08/1,948.62 = 558.53/x
  3. Step 3: Cross multiply
    1,299.08x = 1,948.62 × 558.53
  4. Step 4: Simplify right side
    1,299.08x = 1,088,362.73
  5. Step 5: Solve for x
    x = 1,088,362.73/1,299.08
  6. Step 6: Final answer
    x = 837.80

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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.