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Finding the Fourth Proportional to 503.11, 692.63 and 434.08

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Solution

The fourth proportional to 503.11, 692.63 and 434.08 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.11 : 692.63 = 434.08 : x
  2. Step 2: Convert to fraction form
    503.11/692.63 = 434.08/x
  3. Step 3: Cross multiply
    503.11x = 692.63 × 434.08
  4. Step 4: Simplify right side
    503.11x = 300,657.88
  5. Step 5: Solve for x
    x = 300,657.88/503.11
  6. Step 6: Final answer
    x = 597.60

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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.