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Finding the Fourth Proportional to 665.16, 917.76 and 499.92

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Solution

The fourth proportional to 665.16, 917.76 and 499.92 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 917.76 = 499.92 : x
  2. Step 2: Convert to fraction form
    665.16/917.76 = 499.92/x
  3. Step 3: Cross multiply
    665.16x = 917.76 × 499.92
  4. Step 4: Simplify right side
    665.16x = 458,806.58
  5. Step 5: Solve for x
    x = 458,806.58/665.16
  6. Step 6: Final answer
    x = 689.77

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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.