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Finding the Fourth Proportional to 706.65, 1,059.99 and 433.29

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Solution

The fourth proportional to 706.65, 1,059.99 and 433.29 is: 649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 1,059.99 = 433.29 : x
  2. Step 2: Convert to fraction form
    706.65/1,059.99 = 433.29/x
  3. Step 3: Cross multiply
    706.65x = 1,059.99 × 433.29
  4. Step 4: Simplify right side
    706.65x = 459,283.07
  5. Step 5: Solve for x
    x = 459,283.07/706.65
  6. Step 6: Final answer
    x = 649.94

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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.