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Finding the Fourth Proportional to 535.81, 802.29 and 316.26

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Solution

The fourth proportional to 535.81, 802.29 and 316.26 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.81 : 802.29 = 316.26 : x
  2. Step 2: Convert to fraction form
    535.81/802.29 = 316.26/x
  3. Step 3: Cross multiply
    535.81x = 802.29 × 316.26
  4. Step 4: Simplify right side
    535.81x = 253,732.24
  5. Step 5: Solve for x
    x = 253,732.24/535.81
  6. Step 6: Final answer
    x = 473.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.