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Finding the Fourth Proportional to 744.04, 1,027.16 and 482.28

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Solution

The fourth proportional to 744.04, 1,027.16 and 482.28 is: 665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.04 : 1,027.16 = 482.28 : x
  2. Step 2: Convert to fraction form
    744.04/1,027.16 = 482.28/x
  3. Step 3: Cross multiply
    744.04x = 1,027.16 × 482.28
  4. Step 4: Simplify right side
    744.04x = 495,378.72
  5. Step 5: Solve for x
    x = 495,378.72/744.04
  6. Step 6: Final answer
    x = 665.80

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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.