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Finding the Fourth Proportional to 505.51, 756.54 and 351.07

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Solution

The fourth proportional to 505.51, 756.54 and 351.07 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 756.54 = 351.07 : x
  2. Step 2: Convert to fraction form
    505.51/756.54 = 351.07/x
  3. Step 3: Cross multiply
    505.51x = 756.54 × 351.07
  4. Step 4: Simplify right side
    505.51x = 265,596.61
  5. Step 5: Solve for x
    x = 265,596.61/505.51
  6. Step 6: Final answer
    x = 525.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.