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Finding the Fourth Proportional to 692.66, 954.81 and 568.10

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Solution

The fourth proportional to 692.66, 954.81 and 568.10 is: 783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.66 : 954.81 = 568.10 : x
  2. Step 2: Convert to fraction form
    692.66/954.81 = 568.10/x
  3. Step 3: Cross multiply
    692.66x = 954.81 × 568.10
  4. Step 4: Simplify right side
    692.66x = 542,427.56
  5. Step 5: Solve for x
    x = 542,427.56/692.66
  6. Step 6: Final answer
    x = 783.11

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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.