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Finding the Fourth Proportional to 856.49, 1,283.94 and 465.92

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Solution

The fourth proportional to 856.49, 1,283.94 and 465.92 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.49 : 1,283.94 = 465.92 : x
  2. Step 2: Convert to fraction form
    856.49/1,283.94 = 465.92/x
  3. Step 3: Cross multiply
    856.49x = 1,283.94 × 465.92
  4. Step 4: Simplify right side
    856.49x = 598,213.32
  5. Step 5: Solve for x
    x = 598,213.32/856.49
  6. Step 6: Final answer
    x = 698.45

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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.