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Finding the Fourth Proportional to 581.27, 802.25 and 345.23

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Solution

The fourth proportional to 581.27, 802.25 and 345.23 is: 476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.27 : 802.25 = 345.23 : x
  2. Step 2: Convert to fraction form
    581.27/802.25 = 345.23/x
  3. Step 3: Cross multiply
    581.27x = 802.25 × 345.23
  4. Step 4: Simplify right side
    581.27x = 276,955.03
  5. Step 5: Solve for x
    x = 276,955.03/581.27
  6. Step 6: Final answer
    x = 476.47

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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.