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Finding the Fourth Proportional to 777.57, 1,073.01 and 463.19

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Solution

The fourth proportional to 777.57, 1,073.01 and 463.19 is: 639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.57 : 1,073.01 = 463.19 : x
  2. Step 2: Convert to fraction form
    777.57/1,073.01 = 463.19/x
  3. Step 3: Cross multiply
    777.57x = 1,073.01 × 463.19
  4. Step 4: Simplify right side
    777.57x = 497,004.42
  5. Step 5: Solve for x
    x = 497,004.42/777.57
  6. Step 6: Final answer
    x = 639.18

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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.