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Finding the Fourth Proportional to 777.02, 1,072.42 and 462.30

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Solution

The fourth proportional to 777.02, 1,072.42 and 462.30 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.02 : 1,072.42 = 462.30 : x
  2. Step 2: Convert to fraction form
    777.02/1,072.42 = 462.30/x
  3. Step 3: Cross multiply
    777.02x = 1,072.42 × 462.30
  4. Step 4: Simplify right side
    777.02x = 495,779.77
  5. Step 5: Solve for x
    x = 495,779.77/777.02
  6. Step 6: Final answer
    x = 638.05

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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.