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Finding the Fourth Proportional to 459.84, 685.77 and 435.54

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Solution

The fourth proportional to 459.84, 685.77 and 435.54 is: 649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 685.77 = 435.54 : x
  2. Step 2: Convert to fraction form
    459.84/685.77 = 435.54/x
  3. Step 3: Cross multiply
    459.84x = 685.77 × 435.54
  4. Step 4: Simplify right side
    459.84x = 298,680.27
  5. Step 5: Solve for x
    x = 298,680.27/459.84
  6. Step 6: Final answer
    x = 649.53

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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.