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Finding the Fourth Proportional to 497.82, 687.81 and 435.72

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Solution

The fourth proportional to 497.82, 687.81 and 435.72 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.82 : 687.81 = 435.72 : x
  2. Step 2: Convert to fraction form
    497.82/687.81 = 435.72/x
  3. Step 3: Cross multiply
    497.82x = 687.81 × 435.72
  4. Step 4: Simplify right side
    497.82x = 299,692.57
  5. Step 5: Solve for x
    x = 299,692.57/497.82
  6. Step 6: Final answer
    x = 602.01

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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.