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Finding the Fourth Proportional to 707.89, 970.80 and 678.33

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Solution

The fourth proportional to 707.89, 970.80 and 678.33 is: 930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.89 : 970.80 = 678.33 : x
  2. Step 2: Convert to fraction form
    707.89/970.80 = 678.33/x
  3. Step 3: Cross multiply
    707.89x = 970.80 × 678.33
  4. Step 4: Simplify right side
    707.89x = 658,522.76
  5. Step 5: Solve for x
    x = 658,522.76/707.89
  6. Step 6: Final answer
    x = 930.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.