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Finding the Fourth Proportional to 664.98, 917.75 and 402.99

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Solution

The fourth proportional to 664.98, 917.75 and 402.99 is: 556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 917.75 = 402.99 : x
  2. Step 2: Convert to fraction form
    664.98/917.75 = 402.99/x
  3. Step 3: Cross multiply
    664.98x = 917.75 × 402.99
  4. Step 4: Simplify right side
    664.98x = 369,842.06
  5. Step 5: Solve for x
    x = 369,842.06/664.98
  6. Step 6: Final answer
    x = 556.17

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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.