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Finding the Fourth Proportional to 582.06, 802.29 and 405.28

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Solution

The fourth proportional to 582.06, 802.29 and 405.28 is: 558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.06 : 802.29 = 405.28 : x
  2. Step 2: Convert to fraction form
    582.06/802.29 = 405.28/x
  3. Step 3: Cross multiply
    582.06x = 802.29 × 405.28
  4. Step 4: Simplify right side
    582.06x = 325,152.09
  5. Step 5: Solve for x
    x = 325,152.09/582.06
  6. Step 6: Final answer
    x = 558.62

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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.