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Finding the Fourth Proportional to 603.80, 899.46 and 585.68

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Solution

The fourth proportional to 603.80, 899.46 and 585.68 is: 872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.80 : 899.46 = 585.68 : x
  2. Step 2: Convert to fraction form
    603.80/899.46 = 585.68/x
  3. Step 3: Cross multiply
    603.80x = 899.46 × 585.68
  4. Step 4: Simplify right side
    603.80x = 526,795.73
  5. Step 5: Solve for x
    x = 526,795.73/603.80
  6. Step 6: Final answer
    x = 872.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.