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Finding the Fourth Proportional to 505.89, 695.15 and 412.44

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Solution

The fourth proportional to 505.89, 695.15 and 412.44 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 695.15 = 412.44 : x
  2. Step 2: Convert to fraction form
    505.89/695.15 = 412.44/x
  3. Step 3: Cross multiply
    505.89x = 695.15 × 412.44
  4. Step 4: Simplify right side
    505.89x = 286,707.67
  5. Step 5: Solve for x
    x = 286,707.67/505.89
  6. Step 6: Final answer
    x = 566.74

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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.