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Finding the Fourth Proportional to 585.96, 807.93 and 480.72

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Solution

The fourth proportional to 585.96, 807.93 and 480.72 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 807.93 = 480.72 : x
  2. Step 2: Convert to fraction form
    585.96/807.93 = 480.72/x
  3. Step 3: Cross multiply
    585.96x = 807.93 × 480.72
  4. Step 4: Simplify right side
    585.96x = 388,388.11
  5. Step 5: Solve for x
    x = 388,388.11/585.96
  6. Step 6: Final answer
    x = 662.82

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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.