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Finding the Fourth Proportional to 1,299.19, 1,948.48 and 640.76

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Solution

The fourth proportional to 1,299.19, 1,948.48 and 640.76 is: 960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.19 : 1,948.48 = 640.76 : x
  2. Step 2: Convert to fraction form
    1,299.19/1,948.48 = 640.76/x
  3. Step 3: Cross multiply
    1,299.19x = 1,948.48 × 640.76
  4. Step 4: Simplify right side
    1,299.19x = 1,248,495.10
  5. Step 5: Solve for x
    x = 1,248,495.10/1,299.19
  6. Step 6: Final answer
    x = 960.98

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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.