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Finding the Fourth Proportional to 897.85, 1,346.31 and 377.71

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Solution

The fourth proportional to 897.85, 1,346.31 and 377.71 is: 566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.85 : 1,346.31 = 377.71 : x
  2. Step 2: Convert to fraction form
    897.85/1,346.31 = 377.71/x
  3. Step 3: Cross multiply
    897.85x = 1,346.31 × 377.71
  4. Step 4: Simplify right side
    897.85x = 508,514.75
  5. Step 5: Solve for x
    x = 508,514.75/897.85
  6. Step 6: Final answer
    x = 566.37

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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.