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Finding the Fourth Proportional to 547.19, 819.35 and 437.00

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Solution

The fourth proportional to 547.19, 819.35 and 437.00 is: 654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.19 : 819.35 = 437.00 : x
  2. Step 2: Convert to fraction form
    547.19/819.35 = 437.00/x
  3. Step 3: Cross multiply
    547.19x = 819.35 × 437.00
  4. Step 4: Simplify right side
    547.19x = 358,051.31
  5. Step 5: Solve for x
    x = 358,051.31/547.19
  6. Step 6: Final answer
    x = 654.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.