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Finding the Fourth Proportional to 645.79, 890.89 and 397.02

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Solution

The fourth proportional to 645.79, 890.89 and 397.02 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.79 : 890.89 = 397.02 : x
  2. Step 2: Convert to fraction form
    645.79/890.89 = 397.02/x
  3. Step 3: Cross multiply
    645.79x = 890.89 × 397.02
  4. Step 4: Simplify right side
    645.79x = 353,701.15
  5. Step 5: Solve for x
    x = 353,701.15/645.79
  6. Step 6: Final answer
    x = 547.70

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