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Finding the Fourth Proportional to 931.52, 1,285.04 and 682.30

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Solution

The fourth proportional to 931.52, 1,285.04 and 682.30 is: 941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.52 : 1,285.04 = 682.30 : x
  2. Step 2: Convert to fraction form
    931.52/1,285.04 = 682.30/x
  3. Step 3: Cross multiply
    931.52x = 1,285.04 × 682.30
  4. Step 4: Simplify right side
    931.52x = 876,782.79
  5. Step 5: Solve for x
    x = 876,782.79/931.52
  6. Step 6: Final answer
    x = 941.24

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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.