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Finding the Fourth Proportional to 503.63, 695.05 and 304.51

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Solution

The fourth proportional to 503.63, 695.05 and 304.51 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 695.05 = 304.51 : x
  2. Step 2: Convert to fraction form
    503.63/695.05 = 304.51/x
  3. Step 3: Cross multiply
    503.63x = 695.05 × 304.51
  4. Step 4: Simplify right side
    503.63x = 211,648.15
  5. Step 5: Solve for x
    x = 211,648.15/503.63
  6. Step 6: Final answer
    x = 420.25

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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.