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Finding the Fourth Proportional to 693.58, 956.04 and 546.02

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Solution

The fourth proportional to 693.58, 956.04 and 546.02 is: 752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.58 : 956.04 = 546.02 : x
  2. Step 2: Convert to fraction form
    693.58/956.04 = 546.02/x
  3. Step 3: Cross multiply
    693.58x = 956.04 × 546.02
  4. Step 4: Simplify right side
    693.58x = 522,016.96
  5. Step 5: Solve for x
    x = 522,016.96/693.58
  6. Step 6: Final answer
    x = 752.64

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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.