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Finding the Fourth Proportional to 459.96, 689.13 and 409.74

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Solution

The fourth proportional to 459.96, 689.13 and 409.74 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.96 : 689.13 = 409.74 : x
  2. Step 2: Convert to fraction form
    459.96/689.13 = 409.74/x
  3. Step 3: Cross multiply
    459.96x = 689.13 × 409.74
  4. Step 4: Simplify right side
    459.96x = 282,364.13
  5. Step 5: Solve for x
    x = 282,364.13/459.96
  6. Step 6: Final answer
    x = 613.89

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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.