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Finding the Fourth Proportional to 459.37, 689.27 and 285.98

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Solution

The fourth proportional to 459.37, 689.27 and 285.98 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.37 : 689.27 = 285.98 : x
  2. Step 2: Convert to fraction form
    459.37/689.27 = 285.98/x
  3. Step 3: Cross multiply
    459.37x = 689.27 × 285.98
  4. Step 4: Simplify right side
    459.37x = 197,117.43
  5. Step 5: Solve for x
    x = 197,117.43/459.37
  6. Step 6: Final answer
    x = 429.10

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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.