Home / 1,281.04-1,921.34-459.16

Finding the Fourth Proportional to 1,281.04, 1,921.34 and 459.16

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Solution

The fourth proportional to 1,281.04, 1,921.34 and 459.16 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.04 : 1,921.34 = 459.16 : x
  2. Step 2: Convert to fraction form
    1,281.04/1,921.34 = 459.16/x
  3. Step 3: Cross multiply
    1,281.04x = 1,921.34 × 459.16
  4. Step 4: Simplify right side
    1,281.04x = 882,202.47
  5. Step 5: Solve for x
    x = 882,202.47/1,281.04
  6. Step 6: Final answer
    x = 688.66

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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.