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Finding the Fourth Proportional to 707.45, 1,051.92 and 678.29

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Solution

The fourth proportional to 707.45, 1,051.92 and 678.29 is: 1,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.45 : 1,051.92 = 678.29 : x
  2. Step 2: Convert to fraction form
    707.45/1,051.92 = 678.29/x
  3. Step 3: Cross multiply
    707.45x = 1,051.92 × 678.29
  4. Step 4: Simplify right side
    707.45x = 713,501.56
  5. Step 5: Solve for x
    x = 713,501.56/707.45
  6. Step 6: Final answer
    x = 1,008.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.