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Finding the Fourth Proportional to 535.12, 802.14 and 490

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Solution

The fourth proportional to 535.12, 802.14 and 490 is: 734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 802.14 = 490 : x
  2. Step 2: Convert to fraction form
    535.12/802.14 = 490/x
  3. Step 3: Cross multiply
    535.12x = 802.14 × 490
  4. Step 4: Simplify right side
    535.12x = 393,048.60
  5. Step 5: Solve for x
    x = 393,048.60/535.12
  6. Step 6: Final answer
    x = 734.51

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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.