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Finding the Fourth Proportional to 777.82, 1,164.20 and 572.33

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Solution

The fourth proportional to 777.82, 1,164.20 and 572.33 is: 856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.82 : 1,164.20 = 572.33 : x
  2. Step 2: Convert to fraction form
    777.82/1,164.20 = 572.33/x
  3. Step 3: Cross multiply
    777.82x = 1,164.20 × 572.33
  4. Step 4: Simplify right side
    777.82x = 666,303.72
  5. Step 5: Solve for x
    x = 666,303.72/777.82
  6. Step 6: Final answer
    x = 856.64

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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.