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Finding the Fourth Proportional to 945.75, 1,304.90 and 591.12

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Solution

The fourth proportional to 945.75, 1,304.90 and 591.12 is: 815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.75 : 1,304.90 = 591.12 : x
  2. Step 2: Convert to fraction form
    945.75/1,304.90 = 591.12/x
  3. Step 3: Cross multiply
    945.75x = 1,304.90 × 591.12
  4. Step 4: Simplify right side
    945.75x = 771,349.53
  5. Step 5: Solve for x
    x = 771,349.53/945.75
  6. Step 6: Final answer
    x = 815.60

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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.