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Finding the Fourth Proportional to 719.34, 992.37 and 498.81

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Solution

The fourth proportional to 719.34, 992.37 and 498.81 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 992.37 = 498.81 : x
  2. Step 2: Convert to fraction form
    719.34/992.37 = 498.81/x
  3. Step 3: Cross multiply
    719.34x = 992.37 × 498.81
  4. Step 4: Simplify right side
    719.34x = 495,004.08
  5. Step 5: Solve for x
    x = 495,004.08/719.34
  6. Step 6: Final answer
    x = 688.14

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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.