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Finding the Fourth Proportional to 952.88, 1,421.62 and 814.32

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Solution

The fourth proportional to 952.88, 1,421.62 and 814.32 is: 1,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.88 : 1,421.62 = 814.32 : x
  2. Step 2: Convert to fraction form
    952.88/1,421.62 = 814.32/x
  3. Step 3: Cross multiply
    952.88x = 1,421.62 × 814.32
  4. Step 4: Simplify right side
    952.88x = 1,157,653.60
  5. Step 5: Solve for x
    x = 1,157,653.60/952.88
  6. Step 6: Final answer
    x = 1,214.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.