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Finding the Fourth Proportional to 665.32, 917.90 and 403.24

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Solution

The fourth proportional to 665.32, 917.90 and 403.24 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.32 : 917.90 = 403.24 : x
  2. Step 2: Convert to fraction form
    665.32/917.90 = 403.24/x
  3. Step 3: Cross multiply
    665.32x = 917.90 × 403.24
  4. Step 4: Simplify right side
    665.32x = 370,134.00
  5. Step 5: Solve for x
    x = 370,134.00/665.32
  6. Step 6: Final answer
    x = 556.32

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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.