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Finding the Fourth Proportional to 459.10, 692.25 and 420.83

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Solution

The fourth proportional to 459.10, 692.25 and 420.83 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 692.25 = 420.83 : x
  2. Step 2: Convert to fraction form
    459.10/692.25 = 420.83/x
  3. Step 3: Cross multiply
    459.10x = 692.25 × 420.83
  4. Step 4: Simplify right side
    459.10x = 291,314.00
  5. Step 5: Solve for x
    x = 291,314.00/459.10
  6. Step 6: Final answer
    x = 634.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.