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Finding the Fourth Proportional to 945.63, 1,305.35 and 920.79

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Solution

The fourth proportional to 945.63, 1,305.35 and 920.79 is: 1,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.63 : 1,305.35 = 920.79 : x
  2. Step 2: Convert to fraction form
    945.63/1,305.35 = 920.79/x
  3. Step 3: Cross multiply
    945.63x = 1,305.35 × 920.79
  4. Step 4: Simplify right side
    945.63x = 1,201,948.62
  5. Step 5: Solve for x
    x = 1,201,948.62/945.63
  6. Step 6: Final answer
    x = 1,271.06

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1.5x scale

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.