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Finding the Fourth Proportional to 748.58, 1,032.89 and 438.02

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Solution

The fourth proportional to 748.58, 1,032.89 and 438.02 is: 604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.58 : 1,032.89 = 438.02 : x
  2. Step 2: Convert to fraction form
    748.58/1,032.89 = 438.02/x
  3. Step 3: Cross multiply
    748.58x = 1,032.89 × 438.02
  4. Step 4: Simplify right side
    748.58x = 452,426.48
  5. Step 5: Solve for x
    x = 452,426.48/748.58
  6. Step 6: Final answer
    x = 604.38

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1.5x scale

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.