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Finding the Fourth Proportional to 853.48, 1,282.74 and 420.94

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Solution

The fourth proportional to 853.48, 1,282.74 and 420.94 is: 632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.48 : 1,282.74 = 420.94 : x
  2. Step 2: Convert to fraction form
    853.48/1,282.74 = 420.94/x
  3. Step 3: Cross multiply
    853.48x = 1,282.74 × 420.94
  4. Step 4: Simplify right side
    853.48x = 539,956.58
  5. Step 5: Solve for x
    x = 539,956.58/853.48
  6. Step 6: Final answer
    x = 632.65

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1.5x scale

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.