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Finding the Fourth Proportional to 945.60, 1,304.16 and 814.08

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Solution

The fourth proportional to 945.60, 1,304.16 and 814.08 is: 1,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,304.16 = 814.08 : x
  2. Step 2: Convert to fraction form
    945.60/1,304.16 = 814.08/x
  3. Step 3: Cross multiply
    945.60x = 1,304.16 × 814.08
  4. Step 4: Simplify right side
    945.60x = 1,061,690.57
  5. Step 5: Solve for x
    x = 1,061,690.57/945.60
  6. Step 6: Final answer
    x = 1,122.77

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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.