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Finding the Fourth Proportional to 505.70, 697.43 and 348.59

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Solution

The fourth proportional to 505.70, 697.43 and 348.59 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 697.43 = 348.59 : x
  2. Step 2: Convert to fraction form
    505.70/697.43 = 348.59/x
  3. Step 3: Cross multiply
    505.70x = 697.43 × 348.59
  4. Step 4: Simplify right side
    505.70x = 243,112.77
  5. Step 5: Solve for x
    x = 243,112.77/505.70
  6. Step 6: Final answer
    x = 480.75

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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.