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Finding the Fourth Proportional to 562.55, 843.84 and 302.77

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Solution

The fourth proportional to 562.55, 843.84 and 302.77 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 843.84 = 302.77 : x
  2. Step 2: Convert to fraction form
    562.55/843.84 = 302.77/x
  3. Step 3: Cross multiply
    562.55x = 843.84 × 302.77
  4. Step 4: Simplify right side
    562.55x = 255,487.33
  5. Step 5: Solve for x
    x = 255,487.33/562.55
  6. Step 6: Final answer
    x = 454.16

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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.