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Finding the Fourth Proportional to 507.11, 695.63 and 485.84

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Solution

The fourth proportional to 507.11, 695.63 and 485.84 is: 666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.11 : 695.63 = 485.84 : x
  2. Step 2: Convert to fraction form
    507.11/695.63 = 485.84/x
  3. Step 3: Cross multiply
    507.11x = 695.63 × 485.84
  4. Step 4: Simplify right side
    507.11x = 337,958.97
  5. Step 5: Solve for x
    x = 337,958.97/507.11
  6. Step 6: Final answer
    x = 666.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.