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Finding the Fourth Proportional to 707.45, 1,060.25 and 296.03

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Solution

The fourth proportional to 707.45, 1,060.25 and 296.03 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.45 : 1,060.25 = 296.03 : x
  2. Step 2: Convert to fraction form
    707.45/1,060.25 = 296.03/x
  3. Step 3: Cross multiply
    707.45x = 1,060.25 × 296.03
  4. Step 4: Simplify right side
    707.45x = 313,866.98
  5. Step 5: Solve for x
    x = 313,866.98/707.45
  6. Step 6: Final answer
    x = 443.66

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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.