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Finding the Fourth Proportional to 582.13, 802.92 and 372.12

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Solution

The fourth proportional to 582.13, 802.92 and 372.12 is: 513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 802.92 = 372.12 : x
  2. Step 2: Convert to fraction form
    582.13/802.92 = 372.12/x
  3. Step 3: Cross multiply
    582.13x = 802.92 × 372.12
  4. Step 4: Simplify right side
    582.13x = 298,782.59
  5. Step 5: Solve for x
    x = 298,782.59/582.13
  6. Step 6: Final answer
    x = 513.26

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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.