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Finding the Fourth Proportional to 817.64, 1,225.92 and 433.16

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Solution

The fourth proportional to 817.64, 1,225.92 and 433.16 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.64 : 1,225.92 = 433.16 : x
  2. Step 2: Convert to fraction form
    817.64/1,225.92 = 433.16/x
  3. Step 3: Cross multiply
    817.64x = 1,225.92 × 433.16
  4. Step 4: Simplify right side
    817.64x = 531,019.51
  5. Step 5: Solve for x
    x = 531,019.51/817.64
  6. Step 6: Final answer
    x = 649.45

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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.