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Finding the Fourth Proportional to 1,019.65, 1,406.95 and 577.46

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Solution

The fourth proportional to 1,019.65, 1,406.95 and 577.46 is: 796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.65 : 1,406.95 = 577.46 : x
  2. Step 2: Convert to fraction form
    1,019.65/1,406.95 = 577.46/x
  3. Step 3: Cross multiply
    1,019.65x = 1,406.95 × 577.46
  4. Step 4: Simplify right side
    1,019.65x = 812,447.42
  5. Step 5: Solve for x
    x = 812,447.42/1,019.65
  6. Step 6: Final answer
    x = 796.79

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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.