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Finding the Fourth Proportional to 704.07, 1,054.71 and 518.61

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Solution

The fourth proportional to 704.07, 1,054.71 and 518.61 is: 776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.07 : 1,054.71 = 518.61 : x
  2. Step 2: Convert to fraction form
    704.07/1,054.71 = 518.61/x
  3. Step 3: Cross multiply
    704.07x = 1,054.71 × 518.61
  4. Step 4: Simplify right side
    704.07x = 546,983.15
  5. Step 5: Solve for x
    x = 546,983.15/704.07
  6. Step 6: Final answer
    x = 776.89

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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.