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Finding the Fourth Proportional to 830.16, 1,242.60 and 463.83

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Solution

The fourth proportional to 830.16, 1,242.60 and 463.83 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,242.60 = 463.83 : x
  2. Step 2: Convert to fraction form
    830.16/1,242.60 = 463.83/x
  3. Step 3: Cross multiply
    830.16x = 1,242.60 × 463.83
  4. Step 4: Simplify right side
    830.16x = 576,355.16
  5. Step 5: Solve for x
    x = 576,355.16/830.16
  6. Step 6: Final answer
    x = 694.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.