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Finding the Fourth Proportional to 453.20, 623.56 and 424.40

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Solution

The fourth proportional to 453.20, 623.56 and 424.40 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 623.56 = 424.40 : x
  2. Step 2: Convert to fraction form
    453.20/623.56 = 424.40/x
  3. Step 3: Cross multiply
    453.20x = 623.56 × 424.40
  4. Step 4: Simplify right side
    453.20x = 264,638.86
  5. Step 5: Solve for x
    x = 264,638.86/453.20
  6. Step 6: Final answer
    x = 583.93

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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.