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Finding the Fourth Proportional to 582.19, 802.98 and 372.26

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Solution

The fourth proportional to 582.19, 802.98 and 372.26 is: 513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 802.98 = 372.26 : x
  2. Step 2: Convert to fraction form
    582.19/802.98 = 372.26/x
  3. Step 3: Cross multiply
    582.19x = 802.98 × 372.26
  4. Step 4: Simplify right side
    582.19x = 298,919.34
  5. Step 5: Solve for x
    x = 298,919.34/582.19
  6. Step 6: Final answer
    x = 513.44

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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.