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Finding the Fourth Proportional to 720.66, 993.60 and 546.42

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Solution

The fourth proportional to 720.66, 993.60 and 546.42 is: 753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.66 : 993.60 = 546.42 : x
  2. Step 2: Convert to fraction form
    720.66/993.60 = 546.42/x
  3. Step 3: Cross multiply
    720.66x = 993.60 × 546.42
  4. Step 4: Simplify right side
    720.66x = 542,922.91
  5. Step 5: Solve for x
    x = 542,922.91/720.66
  6. Step 6: Final answer
    x = 753.37

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1.5x scale

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.