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Finding the Fourth Proportional to 1,280.42, 1,920.82 and 631.20

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Solution

The fourth proportional to 1,280.42, 1,920.82 and 631.20 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.42 : 1,920.82 = 631.20 : x
  2. Step 2: Convert to fraction form
    1,280.42/1,920.82 = 631.20/x
  3. Step 3: Cross multiply
    1,280.42x = 1,920.82 × 631.20
  4. Step 4: Simplify right side
    1,280.42x = 1,212,421.58
  5. Step 5: Solve for x
    x = 1,212,421.58/1,280.42
  6. Step 6: Final answer
    x = 946.89

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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.