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Finding the Fourth Proportional to 830.94, 1,246.50 and 466.08

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Solution

The fourth proportional to 830.94, 1,246.50 and 466.08 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.94 : 1,246.50 = 466.08 : x
  2. Step 2: Convert to fraction form
    830.94/1,246.50 = 466.08/x
  3. Step 3: Cross multiply
    830.94x = 1,246.50 × 466.08
  4. Step 4: Simplify right side
    830.94x = 580,968.72
  5. Step 5: Solve for x
    x = 580,968.72/830.94
  6. Step 6: Final answer
    x = 699.17

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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.