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Finding the Fourth Proportional to 962.25, 1,443.12 and 345.88

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Solution

The fourth proportional to 962.25, 1,443.12 and 345.88 is: 518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,443.12 = 345.88 : x
  2. Step 2: Convert to fraction form
    962.25/1,443.12 = 345.88/x
  3. Step 3: Cross multiply
    962.25x = 1,443.12 × 345.88
  4. Step 4: Simplify right side
    962.25x = 499,146.35
  5. Step 5: Solve for x
    x = 499,146.35/962.25
  6. Step 6: Final answer
    x = 518.73

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Half scale
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Double scale
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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.