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Finding the Fourth Proportional to 853.93, 1,281.50 and 638.07

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Solution

The fourth proportional to 853.93, 1,281.50 and 638.07 is: 957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.93 : 1,281.50 = 638.07 : x
  2. Step 2: Convert to fraction form
    853.93/1,281.50 = 638.07/x
  3. Step 3: Cross multiply
    853.93x = 1,281.50 × 638.07
  4. Step 4: Simplify right side
    853.93x = 817,686.71
  5. Step 5: Solve for x
    x = 817,686.71/853.93
  6. Step 6: Final answer
    x = 957.56

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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.