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Finding the Fourth Proportional to 777.86, 1,073.45 and 428.54

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Solution

The fourth proportional to 777.86, 1,073.45 and 428.54 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.86 : 1,073.45 = 428.54 : x
  2. Step 2: Convert to fraction form
    777.86/1,073.45 = 428.54/x
  3. Step 3: Cross multiply
    777.86x = 1,073.45 × 428.54
  4. Step 4: Simplify right side
    777.86x = 460,020.02
  5. Step 5: Solve for x
    x = 460,020.02/777.86
  6. Step 6: Final answer
    x = 591.40

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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.