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Finding the Fourth Proportional to 692.65, 955.53 and 412.72

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Solution

The fourth proportional to 692.65, 955.53 and 412.72 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 955.53 = 412.72 : x
  2. Step 2: Convert to fraction form
    692.65/955.53 = 412.72/x
  3. Step 3: Cross multiply
    692.65x = 955.53 × 412.72
  4. Step 4: Simplify right side
    692.65x = 394,366.34
  5. Step 5: Solve for x
    x = 394,366.34/692.65
  6. Step 6: Final answer
    x = 569.36

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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.