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Finding the Fourth Proportional to 587.30, 804.45 and 585.68

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Solution

The fourth proportional to 587.30, 804.45 and 585.68 is: 802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 804.45 = 585.68 : x
  2. Step 2: Convert to fraction form
    587.30/804.45 = 585.68/x
  3. Step 3: Cross multiply
    587.30x = 804.45 × 585.68
  4. Step 4: Simplify right side
    587.30x = 471,150.28
  5. Step 5: Solve for x
    x = 471,150.28/587.30
  6. Step 6: Final answer
    x = 802.23

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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.