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Finding the Fourth Proportional to 829.93, 1,145.29 and 456.90

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Solution

The fourth proportional to 829.93, 1,145.29 and 456.90 is: 630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.93 : 1,145.29 = 456.90 : x
  2. Step 2: Convert to fraction form
    829.93/1,145.29 = 456.90/x
  3. Step 3: Cross multiply
    829.93x = 1,145.29 × 456.90
  4. Step 4: Simplify right side
    829.93x = 523,274.99
  5. Step 5: Solve for x
    x = 523,274.99/829.93
  6. Step 6: Final answer
    x = 630.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.