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Finding the Fourth Proportional to 1,299.52, 1,948.80 and 433.63

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Solution

The fourth proportional to 1,299.52, 1,948.80 and 433.63 is: 650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.52 : 1,948.80 = 433.63 : x
  2. Step 2: Convert to fraction form
    1,299.52/1,948.80 = 433.63/x
  3. Step 3: Cross multiply
    1,299.52x = 1,948.80 × 433.63
  4. Step 4: Simplify right side
    1,299.52x = 845,048.40
  5. Step 5: Solve for x
    x = 845,048.40/1,299.52
  6. Step 6: Final answer
    x = 650.28

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Double scale
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1.5x scale

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.