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Finding the Fourth Proportional to 503.20, 692.51 and 456.63

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Solution

The fourth proportional to 503.20, 692.51 and 456.63 is: 628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 692.51 = 456.63 : x
  2. Step 2: Convert to fraction form
    503.20/692.51 = 456.63/x
  3. Step 3: Cross multiply
    503.20x = 692.51 × 456.63
  4. Step 4: Simplify right side
    503.20x = 316,220.84
  5. Step 5: Solve for x
    x = 316,220.84/503.20
  6. Step 6: Final answer
    x = 628.42

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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.