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Finding the Fourth Proportional to 562.64, 842.64 and 543.18

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Solution

The fourth proportional to 562.64, 842.64 and 543.18 is: 813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 842.64 = 543.18 : x
  2. Step 2: Convert to fraction form
    562.64/842.64 = 543.18/x
  3. Step 3: Cross multiply
    562.64x = 842.64 × 543.18
  4. Step 4: Simplify right side
    562.64x = 457,705.20
  5. Step 5: Solve for x
    x = 457,705.20/562.64
  6. Step 6: Final answer
    x = 813.50

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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.