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Finding the Fourth Proportional to 503.60, 690.44 and 494.34

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Solution

The fourth proportional to 503.60, 690.44 and 494.34 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 690.44 = 494.34 : x
  2. Step 2: Convert to fraction form
    503.60/690.44 = 494.34/x
  3. Step 3: Cross multiply
    503.60x = 690.44 × 494.34
  4. Step 4: Simplify right side
    503.60x = 341,312.11
  5. Step 5: Solve for x
    x = 341,312.11/503.60
  6. Step 6: Final answer
    x = 677.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.