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Finding the Fourth Proportional to 706.65, 975.42 and 486.33

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Solution

The fourth proportional to 706.65, 975.42 and 486.33 is: 671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 975.42 = 486.33 : x
  2. Step 2: Convert to fraction form
    706.65/975.42 = 486.33/x
  3. Step 3: Cross multiply
    706.65x = 975.42 × 486.33
  4. Step 4: Simplify right side
    706.65x = 474,376.01
  5. Step 5: Solve for x
    x = 474,376.01/706.65
  6. Step 6: Final answer
    x = 671.30

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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.