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Finding the Fourth Proportional to 897.55, 1,238.65 and 543.49

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Solution

The fourth proportional to 897.55, 1,238.65 and 543.49 is: 750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.55 : 1,238.65 = 543.49 : x
  2. Step 2: Convert to fraction form
    897.55/1,238.65 = 543.49/x
  3. Step 3: Cross multiply
    897.55x = 1,238.65 × 543.49
  4. Step 4: Simplify right side
    897.55x = 673,189.43
  5. Step 5: Solve for x
    x = 673,189.43/897.55
  6. Step 6: Final answer
    x = 750.03

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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.