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Finding the Fourth Proportional to 578.64, 797.76 and 460.98

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Solution

The fourth proportional to 578.64, 797.76 and 460.98 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 797.76 = 460.98 : x
  2. Step 2: Convert to fraction form
    578.64/797.76 = 460.98/x
  3. Step 3: Cross multiply
    578.64x = 797.76 × 460.98
  4. Step 4: Simplify right side
    578.64x = 367,751.40
  5. Step 5: Solve for x
    x = 367,751.40/578.64
  6. Step 6: Final answer
    x = 635.54

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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.