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Finding the Fourth Proportional to 996.16, 1,492.86 and 557.62

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Solution

The fourth proportional to 996.16, 1,492.86 and 557.62 is: 835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.16 : 1,492.86 = 557.62 : x
  2. Step 2: Convert to fraction form
    996.16/1,492.86 = 557.62/x
  3. Step 3: Cross multiply
    996.16x = 1,492.86 × 557.62
  4. Step 4: Simplify right side
    996.16x = 832,448.59
  5. Step 5: Solve for x
    x = 832,448.59/996.16
  6. Step 6: Final answer
    x = 835.66

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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.