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Finding the Fourth Proportional to 452.40, 675.32 and 397.72

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Solution

The fourth proportional to 452.40, 675.32 and 397.72 is: 593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.40 : 675.32 = 397.72 : x
  2. Step 2: Convert to fraction form
    452.40/675.32 = 397.72/x
  3. Step 3: Cross multiply
    452.40x = 675.32 × 397.72
  4. Step 4: Simplify right side
    452.40x = 268,588.27
  5. Step 5: Solve for x
    x = 268,588.27/452.40
  6. Step 6: Final answer
    x = 593.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.