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Finding the Fourth Proportional to 503.26, 692.47 and 491.11

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Solution

The fourth proportional to 503.26, 692.47 and 491.11 is: 675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 692.47 = 491.11 : x
  2. Step 2: Convert to fraction form
    503.26/692.47 = 491.11/x
  3. Step 3: Cross multiply
    503.26x = 692.47 × 491.11
  4. Step 4: Simplify right side
    503.26x = 340,078.96
  5. Step 5: Solve for x
    x = 340,078.96/503.26
  6. Step 6: Final answer
    x = 675.75

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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.