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Finding the Fourth Proportional to 776.35, 1,164.52 and 365.68

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Solution

The fourth proportional to 776.35, 1,164.52 and 365.68 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.35 : 1,164.52 = 365.68 : x
  2. Step 2: Convert to fraction form
    776.35/1,164.52 = 365.68/x
  3. Step 3: Cross multiply
    776.35x = 1,164.52 × 365.68
  4. Step 4: Simplify right side
    776.35x = 425,835.85
  5. Step 5: Solve for x
    x = 425,835.85/776.35
  6. Step 6: Final answer
    x = 548.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.