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Finding the Fourth Proportional to 585.10, 802.20 and 574.77

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Solution

The fourth proportional to 585.10, 802.20 and 574.77 is: 788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.10 : 802.20 = 574.77 : x
  2. Step 2: Convert to fraction form
    585.10/802.20 = 574.77/x
  3. Step 3: Cross multiply
    585.10x = 802.20 × 574.77
  4. Step 4: Simplify right side
    585.10x = 461,083.40
  5. Step 5: Solve for x
    x = 461,083.40/585.10
  6. Step 6: Final answer
    x = 788.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.