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Finding the Fourth Proportional to 505.47, 696.78 and 412.05

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Solution

The fourth proportional to 505.47, 696.78 and 412.05 is: 568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.47 : 696.78 = 412.05 : x
  2. Step 2: Convert to fraction form
    505.47/696.78 = 412.05/x
  3. Step 3: Cross multiply
    505.47x = 696.78 × 412.05
  4. Step 4: Simplify right side
    505.47x = 287,108.20
  5. Step 5: Solve for x
    x = 287,108.20/505.47
  6. Step 6: Final answer
    x = 568.00

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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.