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Finding the Fourth Proportional to 645.52, 890.04 and 424.40

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Solution

The fourth proportional to 645.52, 890.04 and 424.40 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 890.04 = 424.40 : x
  2. Step 2: Convert to fraction form
    645.52/890.04 = 424.40/x
  3. Step 3: Cross multiply
    645.52x = 890.04 × 424.40
  4. Step 4: Simplify right side
    645.52x = 377,732.98
  5. Step 5: Solve for x
    x = 377,732.98/645.52
  6. Step 6: Final answer
    x = 585.16

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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.