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Finding the Fourth Proportional to 505.19, 697.49 and 347.77

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Solution

The fourth proportional to 505.19, 697.49 and 347.77 is: 480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 697.49 = 347.77 : x
  2. Step 2: Convert to fraction form
    505.19/697.49 = 347.77/x
  3. Step 3: Cross multiply
    505.19x = 697.49 × 347.77
  4. Step 4: Simplify right side
    505.19x = 242,566.53
  5. Step 5: Solve for x
    x = 242,566.53/505.19
  6. Step 6: Final answer
    x = 480.15

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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.