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Finding the Fourth Proportional to 1,015.28, 1,400.96 and 573.20

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Solution

The fourth proportional to 1,015.28, 1,400.96 and 573.20 is: 790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.28 : 1,400.96 = 573.20 : x
  2. Step 2: Convert to fraction form
    1,015.28/1,400.96 = 573.20/x
  3. Step 3: Cross multiply
    1,015.28x = 1,400.96 × 573.20
  4. Step 4: Simplify right side
    1,015.28x = 803,030.27
  5. Step 5: Solve for x
    x = 803,030.27/1,015.28
  6. Step 6: Final answer
    x = 790.94

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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.