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Finding the Fourth Proportional to 551.35, 826.57 and 430.15

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Solution

The fourth proportional to 551.35, 826.57 and 430.15 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.35 : 826.57 = 430.15 : x
  2. Step 2: Convert to fraction form
    551.35/826.57 = 430.15/x
  3. Step 3: Cross multiply
    551.35x = 826.57 × 430.15
  4. Step 4: Simplify right side
    551.35x = 355,549.09
  5. Step 5: Solve for x
    x = 355,549.09/551.35
  6. Step 6: Final answer
    x = 644.87

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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.