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Finding the Fourth Proportional to 503.52, 692.87 and 420.36

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Solution

The fourth proportional to 503.52, 692.87 and 420.36 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 692.87 = 420.36 : x
  2. Step 2: Convert to fraction form
    503.52/692.87 = 420.36/x
  3. Step 3: Cross multiply
    503.52x = 692.87 × 420.36
  4. Step 4: Simplify right side
    503.52x = 291,252.73
  5. Step 5: Solve for x
    x = 291,252.73/503.52
  6. Step 6: Final answer
    x = 578.43

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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.