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Finding the Fourth Proportional to 953.80, 1,430.09 and 433.26

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Solution

The fourth proportional to 953.80, 1,430.09 and 433.26 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.80 : 1,430.09 = 433.26 : x
  2. Step 2: Convert to fraction form
    953.80/1,430.09 = 433.26/x
  3. Step 3: Cross multiply
    953.80x = 1,430.09 × 433.26
  4. Step 4: Simplify right side
    953.80x = 619,600.79
  5. Step 5: Solve for x
    x = 619,600.79/953.80
  6. Step 6: Final answer
    x = 649.61

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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.