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Finding the Fourth Proportional to 748.95, 1,033.47 and 434.31

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Solution

The fourth proportional to 748.95, 1,033.47 and 434.31 is: 599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.95 : 1,033.47 = 434.31 : x
  2. Step 2: Convert to fraction form
    748.95/1,033.47 = 434.31/x
  3. Step 3: Cross multiply
    748.95x = 1,033.47 × 434.31
  4. Step 4: Simplify right side
    748.95x = 448,846.36
  5. Step 5: Solve for x
    x = 448,846.36/748.95
  6. Step 6: Final answer
    x = 599.30

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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.