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Finding the Fourth Proportional to 813.17, 1,122.29 and 498.45

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Solution

The fourth proportional to 813.17, 1,122.29 and 498.45 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.17 : 1,122.29 = 498.45 : x
  2. Step 2: Convert to fraction form
    813.17/1,122.29 = 498.45/x
  3. Step 3: Cross multiply
    813.17x = 1,122.29 × 498.45
  4. Step 4: Simplify right side
    813.17x = 559,409.04
  5. Step 5: Solve for x
    x = 559,409.04/813.17
  6. Step 6: Final answer
    x = 687.93

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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.