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Finding the Fourth Proportional to 562.80, 839.40 and 543.21

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Solution

The fourth proportional to 562.80, 839.40 and 543.21 is: 810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 839.40 = 543.21 : x
  2. Step 2: Convert to fraction form
    562.80/839.40 = 543.21/x
  3. Step 3: Cross multiply
    562.80x = 839.40 × 543.21
  4. Step 4: Simplify right side
    562.80x = 455,970.01
  5. Step 5: Solve for x
    x = 455,970.01/562.80
  6. Step 6: Final answer
    x = 810.18

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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.