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Finding the Fourth Proportional to 706.51, 1,057.74 and 544.51

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Solution

The fourth proportional to 706.51, 1,057.74 and 544.51 is: 815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.51 : 1,057.74 = 544.51 : x
  2. Step 2: Convert to fraction form
    706.51/1,057.74 = 544.51/x
  3. Step 3: Cross multiply
    706.51x = 1,057.74 × 544.51
  4. Step 4: Simplify right side
    706.51x = 575,950.01
  5. Step 5: Solve for x
    x = 575,950.01/706.51
  6. Step 6: Final answer
    x = 815.20

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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.