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Finding the Fourth Proportional to 459.57, 692.40 and 417.93

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Solution

The fourth proportional to 459.57, 692.40 and 417.93 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 692.40 = 417.93 : x
  2. Step 2: Convert to fraction form
    459.57/692.40 = 417.93/x
  3. Step 3: Cross multiply
    459.57x = 692.40 × 417.93
  4. Step 4: Simplify right side
    459.57x = 289,374.73
  5. Step 5: Solve for x
    x = 289,374.73/459.57
  6. Step 6: Final answer
    x = 629.66

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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.