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Finding the Fourth Proportional to 582.90, 802.43 and 505.29

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Solution

The fourth proportional to 582.90, 802.43 and 505.29 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 802.43 = 505.29 : x
  2. Step 2: Convert to fraction form
    582.90/802.43 = 505.29/x
  3. Step 3: Cross multiply
    582.90x = 802.43 × 505.29
  4. Step 4: Simplify right side
    582.90x = 405,457.33
  5. Step 5: Solve for x
    x = 405,457.33/582.90
  6. Step 6: Final answer
    x = 695.59

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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.