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Finding the Fourth Proportional to 975.25, 1,462.88 and 291.25

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Solution

The fourth proportional to 975.25, 1,462.88 and 291.25 is: 436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.25 : 1,462.88 = 291.25 : x
  2. Step 2: Convert to fraction form
    975.25/1,462.88 = 291.25/x
  3. Step 3: Cross multiply
    975.25x = 1,462.88 × 291.25
  4. Step 4: Simplify right side
    975.25x = 426,063.80
  5. Step 5: Solve for x
    x = 426,063.80/975.25
  6. Step 6: Final answer
    x = 436.88

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Double scale
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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.