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Finding the Fourth Proportional to 536.04, 802.98 and 426.56

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Solution

The fourth proportional to 536.04, 802.98 and 426.56 is: 638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 802.98 = 426.56 : x
  2. Step 2: Convert to fraction form
    536.04/802.98 = 426.56/x
  3. Step 3: Cross multiply
    536.04x = 802.98 × 426.56
  4. Step 4: Simplify right side
    536.04x = 342,515.13
  5. Step 5: Solve for x
    x = 342,515.13/536.04
  6. Step 6: Final answer
    x = 638.97

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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.