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Finding the Fourth Proportional to 651.93, 977.65 and 327.07

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Solution

The fourth proportional to 651.93, 977.65 and 327.07 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.93 : 977.65 = 327.07 : x
  2. Step 2: Convert to fraction form
    651.93/977.65 = 327.07/x
  3. Step 3: Cross multiply
    651.93x = 977.65 × 327.07
  4. Step 4: Simplify right side
    651.93x = 319,759.99
  5. Step 5: Solve for x
    x = 319,759.99/651.93
  6. Step 6: Final answer
    x = 490.48

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Double scale
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Similar ratio
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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.