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Finding the Fourth Proportional to 503.57, 695.36 and 419.84

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Solution

The fourth proportional to 503.57, 695.36 and 419.84 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.57 : 695.36 = 419.84 : x
  2. Step 2: Convert to fraction form
    503.57/695.36 = 419.84/x
  3. Step 3: Cross multiply
    503.57x = 695.36 × 419.84
  4. Step 4: Simplify right side
    503.57x = 291,939.94
  5. Step 5: Solve for x
    x = 291,939.94/503.57
  6. Step 6: Final answer
    x = 579.74

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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.