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Finding the Fourth Proportional to 897.08, 1,345.89 and 319.82

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Solution

The fourth proportional to 897.08, 1,345.89 and 319.82 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.08 : 1,345.89 = 319.82 : x
  2. Step 2: Convert to fraction form
    897.08/1,345.89 = 319.82/x
  3. Step 3: Cross multiply
    897.08x = 1,345.89 × 319.82
  4. Step 4: Simplify right side
    897.08x = 430,442.54
  5. Step 5: Solve for x
    x = 430,442.54/897.08
  6. Step 6: Final answer
    x = 479.83

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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.