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Finding the Fourth Proportional to 830.79, 1,247.18 and 465.84

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Solution

The fourth proportional to 830.79, 1,247.18 and 465.84 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,247.18 = 465.84 : x
  2. Step 2: Convert to fraction form
    830.79/1,247.18 = 465.84/x
  3. Step 3: Cross multiply
    830.79x = 1,247.18 × 465.84
  4. Step 4: Simplify right side
    830.79x = 580,984.00
  5. Step 5: Solve for x
    x = 580,984.00/830.79
  6. Step 6: Final answer
    x = 699.32

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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.