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Finding the Fourth Proportional to 953.78, 1,429.86 and 377.06

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Solution

The fourth proportional to 953.78, 1,429.86 and 377.06 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.78 : 1,429.86 = 377.06 : x
  2. Step 2: Convert to fraction form
    953.78/1,429.86 = 377.06/x
  3. Step 3: Cross multiply
    953.78x = 1,429.86 × 377.06
  4. Step 4: Simplify right side
    953.78x = 539,143.01
  5. Step 5: Solve for x
    x = 539,143.01/953.78
  6. Step 6: Final answer
    x = 565.27

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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.