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Finding the Fourth Proportional to 1,069.92, 1,477.04 and 656.16

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Solution

The fourth proportional to 1,069.92, 1,477.04 and 656.16 is: 905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.92 : 1,477.04 = 656.16 : x
  2. Step 2: Convert to fraction form
    1,069.92/1,477.04 = 656.16/x
  3. Step 3: Cross multiply
    1,069.92x = 1,477.04 × 656.16
  4. Step 4: Simplify right side
    1,069.92x = 969,174.57
  5. Step 5: Solve for x
    x = 969,174.57/1,069.92
  6. Step 6: Final answer
    x = 905.84

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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.