Home / 1,281.16-1,921.24-459.28

Finding the Fourth Proportional to 1,281.16, 1,921.24 and 459.28

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Solution

The fourth proportional to 1,281.16, 1,921.24 and 459.28 is: 688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.16 : 1,921.24 = 459.28 : x
  2. Step 2: Convert to fraction form
    1,281.16/1,921.24 = 459.28/x
  3. Step 3: Cross multiply
    1,281.16x = 1,921.24 × 459.28
  4. Step 4: Simplify right side
    1,281.16x = 882,387.11
  5. Step 5: Solve for x
    x = 882,387.11/1,281.16
  6. Step 6: Final answer
    x = 688.74

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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.