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Finding the Fourth Proportional to 541.62, 746.28 and 430.92

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Solution

The fourth proportional to 541.62, 746.28 and 430.92 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 746.28 = 430.92 : x
  2. Step 2: Convert to fraction form
    541.62/746.28 = 430.92/x
  3. Step 3: Cross multiply
    541.62x = 746.28 × 430.92
  4. Step 4: Simplify right side
    541.62x = 321,586.98
  5. Step 5: Solve for x
    x = 321,586.98/541.62
  6. Step 6: Final answer
    x = 593.75

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1.5x scale

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.