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Finding the Fourth Proportional to 459.95, 685.26 and 455.42

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Solution

The fourth proportional to 459.95, 685.26 and 455.42 is: 678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.95 : 685.26 = 455.42 : x
  2. Step 2: Convert to fraction form
    459.95/685.26 = 455.42/x
  3. Step 3: Cross multiply
    459.95x = 685.26 × 455.42
  4. Step 4: Simplify right side
    459.95x = 312,082.82
  5. Step 5: Solve for x
    x = 312,082.82/459.95
  6. Step 6: Final answer
    x = 678.52

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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.