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Finding the Fourth Proportional to 533.80, 802.05 and 474.40

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Solution

The fourth proportional to 533.80, 802.05 and 474.40 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 802.05 = 474.40 : x
  2. Step 2: Convert to fraction form
    533.80/802.05 = 474.40/x
  3. Step 3: Cross multiply
    533.80x = 802.05 × 474.40
  4. Step 4: Simplify right side
    533.80x = 380,492.52
  5. Step 5: Solve for x
    x = 380,492.52/533.80
  6. Step 6: Final answer
    x = 712.80

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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.