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Finding the Fourth Proportional to 562.35, 840.19 and 543.21

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Solution

The fourth proportional to 562.35, 840.19 and 543.21 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.35 : 840.19 = 543.21 : x
  2. Step 2: Convert to fraction form
    562.35/840.19 = 543.21/x
  3. Step 3: Cross multiply
    562.35x = 840.19 × 543.21
  4. Step 4: Simplify right side
    562.35x = 456,396.89
  5. Step 5: Solve for x
    x = 456,396.89/562.35
  6. Step 6: Final answer
    x = 811.59

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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.