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Finding the Fourth Proportional to 585.53, 809.01 and 453.29

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Solution

The fourth proportional to 585.53, 809.01 and 453.29 is: 626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.53 : 809.01 = 453.29 : x
  2. Step 2: Convert to fraction form
    585.53/809.01 = 453.29/x
  3. Step 3: Cross multiply
    585.53x = 809.01 × 453.29
  4. Step 4: Simplify right side
    585.53x = 366,712.10
  5. Step 5: Solve for x
    x = 366,712.10/585.53
  6. Step 6: Final answer
    x = 626.30

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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.