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Finding the Fourth Proportional to 459.99, 690.12 and 286.79

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Solution

The fourth proportional to 459.99, 690.12 and 286.79 is: 430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.99 : 690.12 = 286.79 : x
  2. Step 2: Convert to fraction form
    459.99/690.12 = 286.79/x
  3. Step 3: Cross multiply
    459.99x = 690.12 × 286.79
  4. Step 4: Simplify right side
    459.99x = 197,916.06
  5. Step 5: Solve for x
    x = 197,916.06/459.99
  6. Step 6: Final answer
    x = 430.26

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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.