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Finding the Fourth Proportional to 604.64, 833.76 and 494.40

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Solution

The fourth proportional to 604.64, 833.76 and 494.40 is: 681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 833.76 = 494.40 : x
  2. Step 2: Convert to fraction form
    604.64/833.76 = 494.40/x
  3. Step 3: Cross multiply
    604.64x = 833.76 × 494.40
  4. Step 4: Simplify right side
    604.64x = 412,210.94
  5. Step 5: Solve for x
    x = 412,210.94/604.64
  6. Step 6: Final answer
    x = 681.75

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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.