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Finding the Fourth Proportional to 777.04, 1,072.17 and 462.35

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Solution

The fourth proportional to 777.04, 1,072.17 and 462.35 is: 637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.04 : 1,072.17 = 462.35 : x
  2. Step 2: Convert to fraction form
    777.04/1,072.17 = 462.35/x
  3. Step 3: Cross multiply
    777.04x = 1,072.17 × 462.35
  4. Step 4: Simplify right side
    777.04x = 495,720.48
  5. Step 5: Solve for x
    x = 495,720.48/777.04
  6. Step 6: Final answer
    x = 637.96

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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.