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Finding the Fourth Proportional to 503.58, 695.79 and 416.46

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Solution

The fourth proportional to 503.58, 695.79 and 416.46 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 695.79 = 416.46 : x
  2. Step 2: Convert to fraction form
    503.58/695.79 = 416.46/x
  3. Step 3: Cross multiply
    503.58x = 695.79 × 416.46
  4. Step 4: Simplify right side
    503.58x = 289,768.70
  5. Step 5: Solve for x
    x = 289,768.70/503.58
  6. Step 6: Final answer
    x = 575.42

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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.