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Finding the Fourth Proportional to 1,544.80, 2,316.96 and 571.36

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Solution

The fourth proportional to 1,544.80, 2,316.96 and 571.36 is: 856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.80 : 2,316.96 = 571.36 : x
  2. Step 2: Convert to fraction form
    1,544.80/2,316.96 = 571.36/x
  3. Step 3: Cross multiply
    1,544.80x = 2,316.96 × 571.36
  4. Step 4: Simplify right side
    1,544.80x = 1,323,818.27
  5. Step 5: Solve for x
    x = 1,323,818.27/1,544.80
  6. Step 6: Final answer
    x = 856.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.