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Finding the Fourth Proportional to 503.76, 696.60 and 460.24

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Solution

The fourth proportional to 503.76, 696.60 and 460.24 is: 636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 696.60 = 460.24 : x
  2. Step 2: Convert to fraction form
    503.76/696.60 = 460.24/x
  3. Step 3: Cross multiply
    503.76x = 696.60 × 460.24
  4. Step 4: Simplify right side
    503.76x = 320,603.18
  5. Step 5: Solve for x
    x = 320,603.18/503.76
  6. Step 6: Final answer
    x = 636.42

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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.