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Finding the Fourth Proportional to 1,085.12, 1,497.24 and 619.28

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Solution

The fourth proportional to 1,085.12, 1,497.24 and 619.28 is: 854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.12 : 1,497.24 = 619.28 : x
  2. Step 2: Convert to fraction form
    1,085.12/1,497.24 = 619.28/x
  3. Step 3: Cross multiply
    1,085.12x = 1,497.24 × 619.28
  4. Step 4: Simplify right side
    1,085.12x = 927,210.79
  5. Step 5: Solve for x
    x = 927,210.79/1,085.12
  6. Step 6: Final answer
    x = 854.48

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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.