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Finding the Fourth Proportional to 534.76, 802.14 and 419.08

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Solution

The fourth proportional to 534.76, 802.14 and 419.08 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 802.14 = 419.08 : x
  2. Step 2: Convert to fraction form
    534.76/802.14 = 419.08/x
  3. Step 3: Cross multiply
    534.76x = 802.14 × 419.08
  4. Step 4: Simplify right side
    534.76x = 336,160.83
  5. Step 5: Solve for x
    x = 336,160.83/534.76
  6. Step 6: Final answer
    x = 628.62

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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.