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Finding the Fourth Proportional to 675.42, 931.73 and 426.57

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Solution

The fourth proportional to 675.42, 931.73 and 426.57 is: 588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 931.73 = 426.57 : x
  2. Step 2: Convert to fraction form
    675.42/931.73 = 426.57/x
  3. Step 3: Cross multiply
    675.42x = 931.73 × 426.57
  4. Step 4: Simplify right side
    675.42x = 397,445.93
  5. Step 5: Solve for x
    x = 397,445.93/675.42
  6. Step 6: Final answer
    x = 588.44

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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.