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Finding the Fourth Proportional to 1,015.20, 1,400.88 and 573.12

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Solution

The fourth proportional to 1,015.20, 1,400.88 and 573.12 is: 790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.20 : 1,400.88 = 573.12 : x
  2. Step 2: Convert to fraction form
    1,015.20/1,400.88 = 573.12/x
  3. Step 3: Cross multiply
    1,015.20x = 1,400.88 × 573.12
  4. Step 4: Simplify right side
    1,015.20x = 802,872.35
  5. Step 5: Solve for x
    x = 802,872.35/1,015.20
  6. Step 6: Final answer
    x = 790.85

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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.