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Finding the Fourth Proportional to 505.91, 695.97 and 412.45

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Solution

The fourth proportional to 505.91, 695.97 and 412.45 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.91 : 695.97 = 412.45 : x
  2. Step 2: Convert to fraction form
    505.91/695.97 = 412.45/x
  3. Step 3: Cross multiply
    505.91x = 695.97 × 412.45
  4. Step 4: Simplify right side
    505.91x = 287,054.82
  5. Step 5: Solve for x
    x = 287,054.82/505.91
  6. Step 6: Final answer
    x = 567.40

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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.