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Finding the Fourth Proportional to 574.40, 792.16 and 463.20

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Solution

The fourth proportional to 574.40, 792.16 and 463.20 is: 638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 792.16 = 463.20 : x
  2. Step 2: Convert to fraction form
    574.40/792.16 = 463.20/x
  3. Step 3: Cross multiply
    574.40x = 792.16 × 463.20
  4. Step 4: Simplify right side
    574.40x = 366,928.51
  5. Step 5: Solve for x
    x = 366,928.51/574.40
  6. Step 6: Final answer
    x = 638.80

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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.