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Finding the Fourth Proportional to 597.45, 897.35 and 543.26

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Solution

The fourth proportional to 597.45, 897.35 and 543.26 is: 815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 897.35 = 543.26 : x
  2. Step 2: Convert to fraction form
    597.45/897.35 = 543.26/x
  3. Step 3: Cross multiply
    597.45x = 897.35 × 543.26
  4. Step 4: Simplify right side
    597.45x = 487,494.36
  5. Step 5: Solve for x
    x = 487,494.36/597.45
  6. Step 6: Final answer
    x = 815.96

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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.