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Finding the Fourth Proportional to 448.52, 617 and 430.76

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Solution

The fourth proportional to 448.52, 617 and 430.76 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 617 = 430.76 : x
  2. Step 2: Convert to fraction form
    448.52/617 = 430.76/x
  3. Step 3: Cross multiply
    448.52x = 617 × 430.76
  4. Step 4: Simplify right side
    448.52x = 265,778.92
  5. Step 5: Solve for x
    x = 265,778.92/448.52
  6. Step 6: Final answer
    x = 592.57

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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.