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Finding the Fourth Proportional to 665.58, 917.82 and 499.53

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Solution

The fourth proportional to 665.58, 917.82 and 499.53 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.58 : 917.82 = 499.53 : x
  2. Step 2: Convert to fraction form
    665.58/917.82 = 499.53/x
  3. Step 3: Cross multiply
    665.58x = 917.82 × 499.53
  4. Step 4: Simplify right side
    665.58x = 458,478.62
  5. Step 5: Solve for x
    x = 458,478.62/665.58
  6. Step 6: Final answer
    x = 688.84

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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.