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Finding the Fourth Proportional to 692.01, 954.86 and 459

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Solution

The fourth proportional to 692.01, 954.86 and 459 is: 633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.01 : 954.86 = 459 : x
  2. Step 2: Convert to fraction form
    692.01/954.86 = 459/x
  3. Step 3: Cross multiply
    692.01x = 954.86 × 459
  4. Step 4: Simplify right side
    692.01x = 438,278.45
  5. Step 5: Solve for x
    x = 438,278.45/692.01
  6. Step 6: Final answer
    x = 633.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.