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Finding the Fourth Proportional to 505.00, 696.65 and 345.35

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Solution

The fourth proportional to 505.00, 696.65 and 345.35 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.00 : 696.65 = 345.35 : x
  2. Step 2: Convert to fraction form
    505.00/696.65 = 345.35/x
  3. Step 3: Cross multiply
    505.00x = 696.65 × 345.35
  4. Step 4: Simplify right side
    505.00x = 240,588.09
  5. Step 5: Solve for x
    x = 240,588.09/505.00
  6. Step 6: Final answer
    x = 476.41

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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.