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Finding the Fourth Proportional to 692.10, 955.80 and 568.98

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Solution

The fourth proportional to 692.10, 955.80 and 568.98 is: 785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 955.80 = 568.98 : x
  2. Step 2: Convert to fraction form
    692.10/955.80 = 568.98/x
  3. Step 3: Cross multiply
    692.10x = 955.80 × 568.98
  4. Step 4: Simplify right side
    692.10x = 543,831.08
  5. Step 5: Solve for x
    x = 543,831.08/692.10
  6. Step 6: Final answer
    x = 785.77

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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.