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Finding the Fourth Proportional to 707.54, 1,059.95 and 552.49

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Solution

The fourth proportional to 707.54, 1,059.95 and 552.49 is: 827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 1,059.95 = 552.49 : x
  2. Step 2: Convert to fraction form
    707.54/1,059.95 = 552.49/x
  3. Step 3: Cross multiply
    707.54x = 1,059.95 × 552.49
  4. Step 4: Simplify right side
    707.54x = 585,610.51
  5. Step 5: Solve for x
    x = 585,610.51/707.54
  6. Step 6: Final answer
    x = 827.68

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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.