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Finding the Fourth Proportional to 720.34, 992.81 and 626.03

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Solution

The fourth proportional to 720.34, 992.81 and 626.03 is: 862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 992.81 = 626.03 : x
  2. Step 2: Convert to fraction form
    720.34/992.81 = 626.03/x
  3. Step 3: Cross multiply
    720.34x = 992.81 × 626.03
  4. Step 4: Simplify right side
    720.34x = 621,525.65
  5. Step 5: Solve for x
    x = 621,525.65/720.34
  6. Step 6: Final answer
    x = 862.82

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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.