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Finding the Fourth Proportional to 503.40, 692.91 and 372.18

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Solution

The fourth proportional to 503.40, 692.91 and 372.18 is: 512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 692.91 = 372.18 : x
  2. Step 2: Convert to fraction form
    503.40/692.91 = 372.18/x
  3. Step 3: Cross multiply
    503.40x = 692.91 × 372.18
  4. Step 4: Simplify right side
    503.40x = 257,887.24
  5. Step 5: Solve for x
    x = 257,887.24/503.40
  6. Step 6: Final answer
    x = 512.29

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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.