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Finding the Fourth Proportional to 953.21, 1,425.63 and 829.69

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Solution

The fourth proportional to 953.21, 1,425.63 and 829.69 is: 1,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.21 : 1,425.63 = 829.69 : x
  2. Step 2: Convert to fraction form
    953.21/1,425.63 = 829.69/x
  3. Step 3: Cross multiply
    953.21x = 1,425.63 × 829.69
  4. Step 4: Simplify right side
    953.21x = 1,182,830.95
  5. Step 5: Solve for x
    x = 1,182,830.95/953.21
  6. Step 6: Final answer
    x = 1,240.89

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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.