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Finding the Fourth Proportional to 630.70, 946.12 and 265.46

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Solution

The fourth proportional to 630.70, 946.12 and 265.46 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.70 : 946.12 = 265.46 : x
  2. Step 2: Convert to fraction form
    630.70/946.12 = 265.46/x
  3. Step 3: Cross multiply
    630.70x = 946.12 × 265.46
  4. Step 4: Simplify right side
    630.70x = 251,157.02
  5. Step 5: Solve for x
    x = 251,157.02/630.70
  6. Step 6: Final answer
    x = 398.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.