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Finding the Fourth Proportional to 945, 1,302.80 and 665.55

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Solution

The fourth proportional to 945, 1,302.80 and 665.55 is: 917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,302.80 = 665.55 : x
  2. Step 2: Convert to fraction form
    945/1,302.80 = 665.55/x
  3. Step 3: Cross multiply
    945x = 1,302.80 × 665.55
  4. Step 4: Simplify right side
    945x = 867,075.21
  5. Step 5: Solve for x
    x = 867,075.21/945
  6. Step 6: Final answer
    x = 917.54

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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.