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Finding the Fourth Proportional to 897.30, 1,238.45 and 543.42

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Solution

The fourth proportional to 897.30, 1,238.45 and 543.42 is: 750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.30 : 1,238.45 = 543.42 : x
  2. Step 2: Convert to fraction form
    897.30/1,238.45 = 543.42/x
  3. Step 3: Cross multiply
    897.30x = 1,238.45 × 543.42
  4. Step 4: Simplify right side
    897.30x = 672,998.50
  5. Step 5: Solve for x
    x = 672,998.50/897.30
  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.