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Finding the Fourth Proportional to 539.34, 802.71 and 536.31

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Solution

The fourth proportional to 539.34, 802.71 and 536.31 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 802.71 = 536.31 : x
  2. Step 2: Convert to fraction form
    539.34/802.71 = 536.31/x
  3. Step 3: Cross multiply
    539.34x = 802.71 × 536.31
  4. Step 4: Simplify right side
    539.34x = 430,501.40
  5. Step 5: Solve for x
    x = 430,501.40/539.34
  6. Step 6: Final answer
    x = 798.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.