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Finding the Fourth Proportional to 754.99, 1,041.78 and 435.94

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Solution

The fourth proportional to 754.99, 1,041.78 and 435.94 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.99 : 1,041.78 = 435.94 : x
  2. Step 2: Convert to fraction form
    754.99/1,041.78 = 435.94/x
  3. Step 3: Cross multiply
    754.99x = 1,041.78 × 435.94
  4. Step 4: Simplify right side
    754.99x = 454,152.60
  5. Step 5: Solve for x
    x = 454,152.60/754.99
  6. Step 6: Final answer
    x = 601.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.