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Finding the Fourth Proportional to 459.03, 692.01 and 423.81

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Solution

The fourth proportional to 459.03, 692.01 and 423.81 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.03 : 692.01 = 423.81 : x
  2. Step 2: Convert to fraction form
    459.03/692.01 = 423.81/x
  3. Step 3: Cross multiply
    459.03x = 692.01 × 423.81
  4. Step 4: Simplify right side
    459.03x = 293,280.76
  5. Step 5: Solve for x
    x = 293,280.76/459.03
  6. Step 6: Final answer
    x = 638.91

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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.