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Finding the Fourth Proportional to 945.24, 1,310.06 and 931.20

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Solution

The fourth proportional to 945.24, 1,310.06 and 931.20 is: 1,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.24 : 1,310.06 = 931.20 : x
  2. Step 2: Convert to fraction form
    945.24/1,310.06 = 931.20/x
  3. Step 3: Cross multiply
    945.24x = 1,310.06 × 931.20
  4. Step 4: Simplify right side
    945.24x = 1,219,923.22
  5. Step 5: Solve for x
    x = 1,219,923.22/945.24
  6. Step 6: Final answer
    x = 1,290.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.