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Finding the Fourth Proportional to 612.60, 844.68 and 546.16

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Solution

The fourth proportional to 612.60, 844.68 and 546.16 is: 753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.60 : 844.68 = 546.16 : x
  2. Step 2: Convert to fraction form
    612.60/844.68 = 546.16/x
  3. Step 3: Cross multiply
    612.60x = 844.68 × 546.16
  4. Step 4: Simplify right side
    612.60x = 461,330.43
  5. Step 5: Solve for x
    x = 461,330.43/612.60
  6. Step 6: Final answer
    x = 753.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.