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Finding the Fourth Proportional to 1,048.79, 1,447.34 and 656.04

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Solution

The fourth proportional to 1,048.79, 1,447.34 and 656.04 is: 905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.79 : 1,447.34 = 656.04 : x
  2. Step 2: Convert to fraction form
    1,048.79/1,447.34 = 656.04/x
  3. Step 3: Cross multiply
    1,048.79x = 1,447.34 × 656.04
  4. Step 4: Simplify right side
    1,048.79x = 949,509.65
  5. Step 5: Solve for x
    x = 949,509.65/1,048.79
  6. Step 6: Final answer
    x = 905.34

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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.