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Finding the Fourth Proportional to 1,164.28, 1,606.45 and 692.33

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Solution

The fourth proportional to 1,164.28, 1,606.45 and 692.33 is: 955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.28 : 1,606.45 = 692.33 : x
  2. Step 2: Convert to fraction form
    1,164.28/1,606.45 = 692.33/x
  3. Step 3: Cross multiply
    1,164.28x = 1,606.45 × 692.33
  4. Step 4: Simplify right side
    1,164.28x = 1,112,193.53
  5. Step 5: Solve for x
    x = 1,112,193.53/1,164.28
  6. Step 6: Final answer
    x = 955.26

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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.