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Finding the Fourth Proportional to 698.06, 1,048.11 and 390.51

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Solution

The fourth proportional to 698.06, 1,048.11 and 390.51 is: 586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 1,048.11 = 390.51 : x
  2. Step 2: Convert to fraction form
    698.06/1,048.11 = 390.51/x
  3. Step 3: Cross multiply
    698.06x = 1,048.11 × 390.51
  4. Step 4: Simplify right side
    698.06x = 409,297.44
  5. Step 5: Solve for x
    x = 409,297.44/698.06
  6. Step 6: Final answer
    x = 586.34

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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.