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Finding the Fourth Proportional to 554.17, 830.17 and 431.86

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Solution

The fourth proportional to 554.17, 830.17 and 431.86 is: 646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.17 : 830.17 = 431.86 : x
  2. Step 2: Convert to fraction form
    554.17/830.17 = 431.86/x
  3. Step 3: Cross multiply
    554.17x = 830.17 × 431.86
  4. Step 4: Simplify right side
    554.17x = 358,515.68
  5. Step 5: Solve for x
    x = 358,515.68/554.17
  6. Step 6: Final answer
    x = 646.94

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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.