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Finding the Fourth Proportional to 505.93, 762.53 and 477.68

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Solution

The fourth proportional to 505.93, 762.53 and 477.68 is: 719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 762.53 = 477.68 : x
  2. Step 2: Convert to fraction form
    505.93/762.53 = 477.68/x
  3. Step 3: Cross multiply
    505.93x = 762.53 × 477.68
  4. Step 4: Simplify right side
    505.93x = 364,239.13
  5. Step 5: Solve for x
    x = 364,239.13/505.93
  6. Step 6: Final answer
    x = 719.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.