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Finding the Fourth Proportional to 453.79, 677.84 and 430.03

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Solution

The fourth proportional to 453.79, 677.84 and 430.03 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.79 : 677.84 = 430.03 : x
  2. Step 2: Convert to fraction form
    453.79/677.84 = 430.03/x
  3. Step 3: Cross multiply
    453.79x = 677.84 × 430.03
  4. Step 4: Simplify right side
    453.79x = 291,491.54
  5. Step 5: Solve for x
    x = 291,491.54/453.79
  6. Step 6: Final answer
    x = 642.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.