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Finding the Fourth Proportional to 828.16, 1,142.76 and 491.98

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Solution

The fourth proportional to 828.16, 1,142.76 and 491.98 is: 678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.16 : 1,142.76 = 491.98 : x
  2. Step 2: Convert to fraction form
    828.16/1,142.76 = 491.98/x
  3. Step 3: Cross multiply
    828.16x = 1,142.76 × 491.98
  4. Step 4: Simplify right side
    828.16x = 562,215.06
  5. Step 5: Solve for x
    x = 562,215.06/828.16
  6. Step 6: Final answer
    x = 678.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.