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Finding the Fourth Proportional to 707.90, 1,059.66 and 433.08

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Solution

The fourth proportional to 707.90, 1,059.66 and 433.08 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.90 : 1,059.66 = 433.08 : x
  2. Step 2: Convert to fraction form
    707.90/1,059.66 = 433.08/x
  3. Step 3: Cross multiply
    707.90x = 1,059.66 × 433.08
  4. Step 4: Simplify right side
    707.90x = 458,917.55
  5. Step 5: Solve for x
    x = 458,917.55/707.90
  6. Step 6: Final answer
    x = 648.28

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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.