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Finding the Fourth Proportional to 954.21, 1,427.13 and 830.69

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Solution

The fourth proportional to 954.21, 1,427.13 and 830.69 is: 1,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.21 : 1,427.13 = 830.69 : x
  2. Step 2: Convert to fraction form
    954.21/1,427.13 = 830.69/x
  3. Step 3: Cross multiply
    954.21x = 1,427.13 × 830.69
  4. Step 4: Simplify right side
    954.21x = 1,185,502.62
  5. Step 5: Solve for x
    x = 1,185,502.62/954.21
  6. Step 6: Final answer
    x = 1,242.39

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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.