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Finding the Fourth Proportional to 706.52, 975.04 and 531.56

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Solution

The fourth proportional to 706.52, 975.04 and 531.56 is: 733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 975.04 = 531.56 : x
  2. Step 2: Convert to fraction form
    706.52/975.04 = 531.56/x
  3. Step 3: Cross multiply
    706.52x = 975.04 × 531.56
  4. Step 4: Simplify right side
    706.52x = 518,293.37
  5. Step 5: Solve for x
    x = 518,293.37/706.52
  6. Step 6: Final answer
    x = 733.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.