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Finding the Fourth Proportional to 1,019.18, 1,406.48 and 577.07

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Solution

The fourth proportional to 1,019.18, 1,406.48 and 577.07 is: 796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.18 : 1,406.48 = 577.07 : x
  2. Step 2: Convert to fraction form
    1,019.18/1,406.48 = 577.07/x
  3. Step 3: Cross multiply
    1,019.18x = 1,406.48 × 577.07
  4. Step 4: Simplify right side
    1,019.18x = 811,643.93
  5. Step 5: Solve for x
    x = 811,643.93/1,019.18
  6. Step 6: Final answer
    x = 796.37

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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.