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Finding the Fourth Proportional to 897.14, 1,238.08 and 543.13

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Solution

The fourth proportional to 897.14, 1,238.08 and 543.13 is: 749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.14 : 1,238.08 = 543.13 : x
  2. Step 2: Convert to fraction form
    897.14/1,238.08 = 543.13/x
  3. Step 3: Cross multiply
    897.14x = 1,238.08 × 543.13
  4. Step 4: Simplify right side
    897.14x = 672,438.39
  5. Step 5: Solve for x
    x = 672,438.39/897.14
  6. Step 6: Final answer
    x = 749.54

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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.