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Finding the Fourth Proportional to 855.70, 1,284.16 and 466.50

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Solution

The fourth proportional to 855.70, 1,284.16 and 466.50 is: 700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.70 : 1,284.16 = 466.50 : x
  2. Step 2: Convert to fraction form
    855.70/1,284.16 = 466.50/x
  3. Step 3: Cross multiply
    855.70x = 1,284.16 × 466.50
  4. Step 4: Simplify right side
    855.70x = 599,060.64
  5. Step 5: Solve for x
    x = 599,060.64/855.70
  6. Step 6: Final answer
    x = 700.08

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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.