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Finding the Fourth Proportional to 945.90, 1,303.96 and 665.30

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Solution

The fourth proportional to 945.90, 1,303.96 and 665.30 is: 917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,303.96 = 665.30 : x
  2. Step 2: Convert to fraction form
    945.90/1,303.96 = 665.30/x
  3. Step 3: Cross multiply
    945.90x = 1,303.96 × 665.30
  4. Step 4: Simplify right side
    945.90x = 867,524.59
  5. Step 5: Solve for x
    x = 867,524.59/945.90
  6. Step 6: Final answer
    x = 917.14

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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.