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Finding the Fourth Proportional to 897.14, 1,342.97 and 665.45

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Solution

The fourth proportional to 897.14, 1,342.97 and 665.45 is: 996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.14 : 1,342.97 = 665.45 : x
  2. Step 2: Convert to fraction form
    897.14/1,342.97 = 665.45/x
  3. Step 3: Cross multiply
    897.14x = 1,342.97 × 665.45
  4. Step 4: Simplify right side
    897.14x = 893,669.34
  5. Step 5: Solve for x
    x = 893,669.34/897.14
  6. Step 6: Final answer
    x = 996.14

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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.