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Finding the Fourth Proportional to 554.80, 827.94 and 432.40

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Solution

The fourth proportional to 554.80, 827.94 and 432.40 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.80 : 827.94 = 432.40 : x
  2. Step 2: Convert to fraction form
    554.80/827.94 = 432.40/x
  3. Step 3: Cross multiply
    554.80x = 827.94 × 432.40
  4. Step 4: Simplify right side
    554.80x = 358,001.26
  5. Step 5: Solve for x
    x = 358,001.26/554.80
  6. Step 6: Final answer
    x = 645.28

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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.