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Finding the Fourth Proportional to 459.61, 684.38 and 453.06

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Solution

The fourth proportional to 459.61, 684.38 and 453.06 is: 674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.61 : 684.38 = 453.06 : x
  2. Step 2: Convert to fraction form
    459.61/684.38 = 453.06/x
  3. Step 3: Cross multiply
    459.61x = 684.38 × 453.06
  4. Step 4: Simplify right side
    459.61x = 310,066.34
  5. Step 5: Solve for x
    x = 310,066.34/459.61
  6. Step 6: Final answer
    x = 674.63

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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.