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Finding the Fourth Proportional to 562.82, 846.16 and 455.36

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Solution

The fourth proportional to 562.82, 846.16 and 455.36 is: 684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 846.16 = 455.36 : x
  2. Step 2: Convert to fraction form
    562.82/846.16 = 455.36/x
  3. Step 3: Cross multiply
    562.82x = 846.16 × 455.36
  4. Step 4: Simplify right side
    562.82x = 385,307.42
  5. Step 5: Solve for x
    x = 385,307.42/562.82
  6. Step 6: Final answer
    x = 684.60

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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.