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Finding the Fourth Proportional to 534.87, 802.71 and 390.96

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Solution

The fourth proportional to 534.87, 802.71 and 390.96 is: 586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 802.71 = 390.96 : x
  2. Step 2: Convert to fraction form
    534.87/802.71 = 390.96/x
  3. Step 3: Cross multiply
    534.87x = 802.71 × 390.96
  4. Step 4: Simplify right side
    534.87x = 313,827.50
  5. Step 5: Solve for x
    x = 313,827.50/534.87
  6. Step 6: Final answer
    x = 586.74

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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.