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Finding the Fourth Proportional to 505.21, 696.88 and 470.05

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Solution

The fourth proportional to 505.21, 696.88 and 470.05 is: 648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.21 : 696.88 = 470.05 : x
  2. Step 2: Convert to fraction form
    505.21/696.88 = 470.05/x
  3. Step 3: Cross multiply
    505.21x = 696.88 × 470.05
  4. Step 4: Simplify right side
    505.21x = 327,569.89
  5. Step 5: Solve for x
    x = 327,569.89/505.21
  6. Step 6: Final answer
    x = 648.38

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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.