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Finding the Fourth Proportional to 953.36, 1,430.28 and 937.04

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Solution

The fourth proportional to 953.36, 1,430.28 and 937.04 is: 1,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.36 : 1,430.28 = 937.04 : x
  2. Step 2: Convert to fraction form
    953.36/1,430.28 = 937.04/x
  3. Step 3: Cross multiply
    953.36x = 1,430.28 × 937.04
  4. Step 4: Simplify right side
    953.36x = 1,340,229.57
  5. Step 5: Solve for x
    x = 1,340,229.57/953.36
  6. Step 6: Final answer
    x = 1,405.80

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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.