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Finding the Fourth Proportional to 705.09, 972.48 and 538.89

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Solution

The fourth proportional to 705.09, 972.48 and 538.89 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.09 : 972.48 = 538.89 : x
  2. Step 2: Convert to fraction form
    705.09/972.48 = 538.89/x
  3. Step 3: Cross multiply
    705.09x = 972.48 × 538.89
  4. Step 4: Simplify right side
    705.09x = 524,059.75
  5. Step 5: Solve for x
    x = 524,059.75/705.09
  6. Step 6: Final answer
    x = 743.25

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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.