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Finding the Fourth Proportional to 459.83, 686.16 and 405.83

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Solution

The fourth proportional to 459.83, 686.16 and 405.83 is: 605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.83 : 686.16 = 405.83 : x
  2. Step 2: Convert to fraction form
    459.83/686.16 = 405.83/x
  3. Step 3: Cross multiply
    459.83x = 686.16 × 405.83
  4. Step 4: Simplify right side
    459.83x = 278,460.88
  5. Step 5: Solve for x
    x = 278,460.88/459.83
  6. Step 6: Final answer
    x = 605.58

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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.