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Finding the Fourth Proportional to 975.42, 1,461.18 and 512.49

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Solution

The fourth proportional to 975.42, 1,461.18 and 512.49 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.42 : 1,461.18 = 512.49 : x
  2. Step 2: Convert to fraction form
    975.42/1,461.18 = 512.49/x
  3. Step 3: Cross multiply
    975.42x = 1,461.18 × 512.49
  4. Step 4: Simplify right side
    975.42x = 748,840.14
  5. Step 5: Solve for x
    x = 748,840.14/975.42
  6. Step 6: Final answer
    x = 767.71

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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.