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Finding the Fourth Proportional to 459.57, 689.01 and 209.45

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Solution

The fourth proportional to 459.57, 689.01 and 209.45 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 689.01 = 209.45 : x
  2. Step 2: Convert to fraction form
    459.57/689.01 = 209.45/x
  3. Step 3: Cross multiply
    459.57x = 689.01 × 209.45
  4. Step 4: Simplify right side
    459.57x = 144,314.08
  5. Step 5: Solve for x
    x = 144,314.08/459.57
  6. Step 6: Final answer
    x = 314.02

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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.