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Finding the Fourth Proportional to 534.80, 802.77 and 473.49

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Solution

The fourth proportional to 534.80, 802.77 and 473.49 is: 710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.80 : 802.77 = 473.49 : x
  2. Step 2: Convert to fraction form
    534.80/802.77 = 473.49/x
  3. Step 3: Cross multiply
    534.80x = 802.77 × 473.49
  4. Step 4: Simplify right side
    534.80x = 380,103.57
  5. Step 5: Solve for x
    x = 380,103.57/534.80
  6. Step 6: Final answer
    x = 710.74

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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.