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Finding the Fourth Proportional to 503.66, 695.23 and 304.60

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Solution

The fourth proportional to 503.66, 695.23 and 304.60 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 695.23 = 304.60 : x
  2. Step 2: Convert to fraction form
    503.66/695.23 = 304.60/x
  3. Step 3: Cross multiply
    503.66x = 695.23 × 304.60
  4. Step 4: Simplify right side
    503.66x = 211,768.77
  5. Step 5: Solve for x
    x = 211,768.77/503.66
  6. Step 6: Final answer
    x = 420.46

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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.