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Finding the Fourth Proportional to 1,281.89, 1,921.01 and 586.82

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Solution

The fourth proportional to 1,281.89, 1,921.01 and 586.82 is: 879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.89 : 1,921.01 = 586.82 : x
  2. Step 2: Convert to fraction form
    1,281.89/1,921.01 = 586.82/x
  3. Step 3: Cross multiply
    1,281.89x = 1,921.01 × 586.82
  4. Step 4: Simplify right side
    1,281.89x = 1,127,274.55
  5. Step 5: Solve for x
    x = 1,127,274.55/1,281.89
  6. Step 6: Final answer
    x = 879.39

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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.