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Finding the Fourth Proportional to 459.19, 685.93 and 442.99

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Solution

The fourth proportional to 459.19, 685.93 and 442.99 is: 661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 685.93 = 442.99 : x
  2. Step 2: Convert to fraction form
    459.19/685.93 = 442.99/x
  3. Step 3: Cross multiply
    459.19x = 685.93 × 442.99
  4. Step 4: Simplify right side
    459.19x = 303,860.13
  5. Step 5: Solve for x
    x = 303,860.13/459.19
  6. Step 6: Final answer
    x = 661.73

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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.