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Finding the Fourth Proportional to 535.84, 802.76 and 427.50

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Solution

The fourth proportional to 535.84, 802.76 and 427.50 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 802.76 = 427.50 : x
  2. Step 2: Convert to fraction form
    535.84/802.76 = 427.50/x
  3. Step 3: Cross multiply
    535.84x = 802.76 × 427.50
  4. Step 4: Simplify right side
    535.84x = 343,179.90
  5. Step 5: Solve for x
    x = 343,179.90/535.84
  6. Step 6: Final answer
    x = 640.45

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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.