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Finding the Fourth Proportional to 953.20, 1,429.77 and 790.54

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Solution

The fourth proportional to 953.20, 1,429.77 and 790.54 is: 1,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.20 : 1,429.77 = 790.54 : x
  2. Step 2: Convert to fraction form
    953.20/1,429.77 = 790.54/x
  3. Step 3: Cross multiply
    953.20x = 1,429.77 × 790.54
  4. Step 4: Simplify right side
    953.20x = 1,130,290.38
  5. Step 5: Solve for x
    x = 1,130,290.38/953.20
  6. Step 6: Final answer
    x = 1,185.79

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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.