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Finding the Fourth Proportional to 503.76, 692.73 and 488.40

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Solution

The fourth proportional to 503.76, 692.73 and 488.40 is: 671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 692.73 = 488.40 : x
  2. Step 2: Convert to fraction form
    503.76/692.73 = 488.40/x
  3. Step 3: Cross multiply
    503.76x = 692.73 × 488.40
  4. Step 4: Simplify right side
    503.76x = 338,329.33
  5. Step 5: Solve for x
    x = 338,329.33/503.76
  6. Step 6: Final answer
    x = 671.61

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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.