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Finding the Fourth Proportional to 505.65, 754.77 and 436.41

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Solution

The fourth proportional to 505.65, 754.77 and 436.41 is: 651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 754.77 = 436.41 : x
  2. Step 2: Convert to fraction form
    505.65/754.77 = 436.41/x
  3. Step 3: Cross multiply
    505.65x = 754.77 × 436.41
  4. Step 4: Simplify right side
    505.65x = 329,389.18
  5. Step 5: Solve for x
    x = 329,389.18/505.65
  6. Step 6: Final answer
    x = 651.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.