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Finding the Fourth Proportional to 692.06, 955.03 and 456.35

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Solution

The fourth proportional to 692.06, 955.03 and 456.35 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.06 : 955.03 = 456.35 : x
  2. Step 2: Convert to fraction form
    692.06/955.03 = 456.35/x
  3. Step 3: Cross multiply
    692.06x = 955.03 × 456.35
  4. Step 4: Simplify right side
    692.06x = 435,825.55
  5. Step 5: Solve for x
    x = 435,825.55/692.06
  6. Step 6: Final answer
    x = 629.75

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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.