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Finding the Fourth Proportional to 665.52, 917.86 and 558.76

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Solution

The fourth proportional to 665.52, 917.86 and 558.76 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.52 : 917.86 = 558.76 : x
  2. Step 2: Convert to fraction form
    665.52/917.86 = 558.76/x
  3. Step 3: Cross multiply
    665.52x = 917.86 × 558.76
  4. Step 4: Simplify right side
    665.52x = 512,863.45
  5. Step 5: Solve for x
    x = 512,863.45/665.52
  6. Step 6: Final answer
    x = 770.62

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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.