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Finding the Fourth Proportional to 503.80, 758.83 and 459.52

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Solution

The fourth proportional to 503.80, 758.83 and 459.52 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 758.83 = 459.52 : x
  2. Step 2: Convert to fraction form
    503.80/758.83 = 459.52/x
  3. Step 3: Cross multiply
    503.80x = 758.83 × 459.52
  4. Step 4: Simplify right side
    503.80x = 348,697.56
  5. Step 5: Solve for x
    x = 348,697.56/503.80
  6. Step 6: Final answer
    x = 692.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.