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Finding the Fourth Proportional to 1,019.49, 1,406.96 and 571.40

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Solution

The fourth proportional to 1,019.49, 1,406.96 and 571.40 is: 788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.49 : 1,406.96 = 571.40 : x
  2. Step 2: Convert to fraction form
    1,019.49/1,406.96 = 571.40/x
  3. Step 3: Cross multiply
    1,019.49x = 1,406.96 × 571.40
  4. Step 4: Simplify right side
    1,019.49x = 803,936.94
  5. Step 5: Solve for x
    x = 803,936.94/1,019.49
  6. Step 6: Final answer
    x = 788.57

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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.