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Finding the Fourth Proportional to 665.26, 917.49 and 403.10

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Solution

The fourth proportional to 665.26, 917.49 and 403.10 is: 555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.26 : 917.49 = 403.10 : x
  2. Step 2: Convert to fraction form
    665.26/917.49 = 403.10/x
  3. Step 3: Cross multiply
    665.26x = 917.49 × 403.10
  4. Step 4: Simplify right side
    665.26x = 369,840.22
  5. Step 5: Solve for x
    x = 369,840.22/665.26
  6. Step 6: Final answer
    x = 555.93

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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.