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Finding the Fourth Proportional to 952.80, 1,421.60 and 814.32

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Solution

The fourth proportional to 952.80, 1,421.60 and 814.32 is: 1,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.80 : 1,421.60 = 814.32 : x
  2. Step 2: Convert to fraction form
    952.80/1,421.60 = 814.32/x
  3. Step 3: Cross multiply
    952.80x = 1,421.60 × 814.32
  4. Step 4: Simplify right side
    952.80x = 1,157,637.31
  5. Step 5: Solve for x
    x = 1,157,637.31/952.80
  6. Step 6: Final answer
    x = 1,214.98

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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.