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Finding the Fourth Proportional to 777.12, 1,072.56 and 462.42

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Solution

The fourth proportional to 777.12, 1,072.56 and 462.42 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.12 : 1,072.56 = 462.42 : x
  2. Step 2: Convert to fraction form
    777.12/1,072.56 = 462.42/x
  3. Step 3: Cross multiply
    777.12x = 1,072.56 × 462.42
  4. Step 4: Simplify right side
    777.12x = 495,973.20
  5. Step 5: Solve for x
    x = 495,973.20/777.12
  6. Step 6: Final answer
    x = 638.22

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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.