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Finding the Fourth Proportional to 506.85, 695.09 and 485.81

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Solution

The fourth proportional to 506.85, 695.09 and 485.81 is: 666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.85 : 695.09 = 485.81 : x
  2. Step 2: Convert to fraction form
    506.85/695.09 = 485.81/x
  3. Step 3: Cross multiply
    506.85x = 695.09 × 485.81
  4. Step 4: Simplify right side
    506.85x = 337,681.67
  5. Step 5: Solve for x
    x = 337,681.67/506.85
  6. Step 6: Final answer
    x = 666.24

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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.