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Finding the Fourth Proportional to 1,299.90, 1,948.47 and 605.76

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Solution

The fourth proportional to 1,299.90, 1,948.47 and 605.76 is: 908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.90 : 1,948.47 = 605.76 : x
  2. Step 2: Convert to fraction form
    1,299.90/1,948.47 = 605.76/x
  3. Step 3: Cross multiply
    1,299.90x = 1,948.47 × 605.76
  4. Step 4: Simplify right side
    1,299.90x = 1,180,305.19
  5. Step 5: Solve for x
    x = 1,180,305.19/1,299.90
  6. Step 6: Final answer
    x = 908.00

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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.