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Finding the Fourth Proportional to 563.77, 839.76 and 543.70

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Solution

The fourth proportional to 563.77, 839.76 and 543.70 is: 809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.77 : 839.76 = 543.70 : x
  2. Step 2: Convert to fraction form
    563.77/839.76 = 543.70/x
  3. Step 3: Cross multiply
    563.77x = 839.76 × 543.70
  4. Step 4: Simplify right side
    563.77x = 456,577.51
  5. Step 5: Solve for x
    x = 456,577.51/563.77
  6. Step 6: Final answer
    x = 809.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.