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Finding the Fourth Proportional to 501.83, 692.72 and 335.98

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Solution

The fourth proportional to 501.83, 692.72 and 335.98 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.83 : 692.72 = 335.98 : x
  2. Step 2: Convert to fraction form
    501.83/692.72 = 335.98/x
  3. Step 3: Cross multiply
    501.83x = 692.72 × 335.98
  4. Step 4: Simplify right side
    501.83x = 232,740.51
  5. Step 5: Solve for x
    x = 232,740.51/501.83
  6. Step 6: Final answer
    x = 463.78

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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.