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Finding the Fourth Proportional to 459.89, 689.63 and 440.99

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Solution

The fourth proportional to 459.89, 689.63 and 440.99 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.89 : 689.63 = 440.99 : x
  2. Step 2: Convert to fraction form
    459.89/689.63 = 440.99/x
  3. Step 3: Cross multiply
    459.89x = 689.63 × 440.99
  4. Step 4: Simplify right side
    459.89x = 304,114.28
  5. Step 5: Solve for x
    x = 304,114.28/459.89
  6. Step 6: Final answer
    x = 661.28

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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.