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Finding the Fourth Proportional to 777.12, 1,072.88 and 482.55

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Solution

The fourth proportional to 777.12, 1,072.88 and 482.55 is: 666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.12 : 1,072.88 = 482.55 : x
  2. Step 2: Convert to fraction form
    777.12/1,072.88 = 482.55/x
  3. Step 3: Cross multiply
    777.12x = 1,072.88 × 482.55
  4. Step 4: Simplify right side
    777.12x = 517,718.24
  5. Step 5: Solve for x
    x = 517,718.24/777.12
  6. Step 6: Final answer
    x = 666.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.