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Finding the Fourth Proportional to 777.60, 1,072.68 and 483.12

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Solution

The fourth proportional to 777.60, 1,072.68 and 483.12 is: 666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,072.68 = 483.12 : x
  2. Step 2: Convert to fraction form
    777.60/1,072.68 = 483.12/x
  3. Step 3: Cross multiply
    777.60x = 1,072.68 × 483.12
  4. Step 4: Simplify right side
    777.60x = 518,233.16
  5. Step 5: Solve for x
    x = 518,233.16/777.60
  6. Step 6: Final answer
    x = 666.45

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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.