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Finding the Fourth Proportional to 777.51, 1,072.08 and 580.69

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Solution

The fourth proportional to 777.51, 1,072.08 and 580.69 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.51 : 1,072.08 = 580.69 : x
  2. Step 2: Convert to fraction form
    777.51/1,072.08 = 580.69/x
  3. Step 3: Cross multiply
    777.51x = 1,072.08 × 580.69
  4. Step 4: Simplify right side
    777.51x = 622,543.23
  5. Step 5: Solve for x
    x = 622,543.23/777.51
  6. Step 6: Final answer
    x = 800.69

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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.