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Finding the Fourth Proportional to 777.36, 1,072.53 and 462.54

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Solution

The fourth proportional to 777.36, 1,072.53 and 462.54 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.36 : 1,072.53 = 462.54 : x
  2. Step 2: Convert to fraction form
    777.36/1,072.53 = 462.54/x
  3. Step 3: Cross multiply
    777.36x = 1,072.53 × 462.54
  4. Step 4: Simplify right side
    777.36x = 496,088.03
  5. Step 5: Solve for x
    x = 496,088.03/777.36
  6. Step 6: Final answer
    x = 638.17

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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.