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Finding the Fourth Proportional to 665.11, 917.07 and 429.10

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Solution

The fourth proportional to 665.11, 917.07 and 429.10 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.11 : 917.07 = 429.10 : x
  2. Step 2: Convert to fraction form
    665.11/917.07 = 429.10/x
  3. Step 3: Cross multiply
    665.11x = 917.07 × 429.10
  4. Step 4: Simplify right side
    665.11x = 393,513.25
  5. Step 5: Solve for x
    x = 393,513.25/665.11
  6. Step 6: Final answer
    x = 591.65

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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.