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Finding the Fourth Proportional to 430.59, 642.66 and 371.76

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Solution

The fourth proportional to 430.59, 642.66 and 371.76 is: 554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 642.66 = 371.76 : x
  2. Step 2: Convert to fraction form
    430.59/642.66 = 371.76/x
  3. Step 3: Cross multiply
    430.59x = 642.66 × 371.76
  4. Step 4: Simplify right side
    430.59x = 238,917.18
  5. Step 5: Solve for x
    x = 238,917.18/430.59
  6. Step 6: Final answer
    x = 554.86

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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.