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Finding the Fourth Proportional to 853.71, 1,281.05 and 488.75

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Solution

The fourth proportional to 853.71, 1,281.05 and 488.75 is: 733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.71 : 1,281.05 = 488.75 : x
  2. Step 2: Convert to fraction form
    853.71/1,281.05 = 488.75/x
  3. Step 3: Cross multiply
    853.71x = 1,281.05 × 488.75
  4. Step 4: Simplify right side
    853.71x = 626,113.19
  5. Step 5: Solve for x
    x = 626,113.19/853.71
  6. Step 6: Final answer
    x = 733.40

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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.