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Finding the Fourth Proportional to 1,164.70, 1,606.86 and 771.50

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Solution

The fourth proportional to 1,164.70, 1,606.86 and 771.50 is: 1,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.70 : 1,606.86 = 771.50 : x
  2. Step 2: Convert to fraction form
    1,164.70/1,606.86 = 771.50/x
  3. Step 3: Cross multiply
    1,164.70x = 1,606.86 × 771.50
  4. Step 4: Simplify right side
    1,164.70x = 1,239,692.49
  5. Step 5: Solve for x
    x = 1,239,692.49/1,164.70
  6. Step 6: Final answer
    x = 1,064.39

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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.