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Finding the Fourth Proportional to 777.86, 1,073.61 and 483.38

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Solution

The fourth proportional to 777.86, 1,073.61 and 483.38 is: 667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.86 : 1,073.61 = 483.38 : x
  2. Step 2: Convert to fraction form
    777.86/1,073.61 = 483.38/x
  3. Step 3: Cross multiply
    777.86x = 1,073.61 × 483.38
  4. Step 4: Simplify right side
    777.86x = 518,956.23
  5. Step 5: Solve for x
    x = 518,956.23/777.86
  6. Step 6: Final answer
    x = 667.16

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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.