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Finding the Fourth Proportional to 491.96, 678.28 and 429.20

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Solution

The fourth proportional to 491.96, 678.28 and 429.20 is: 591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.96 : 678.28 = 429.20 : x
  2. Step 2: Convert to fraction form
    491.96/678.28 = 429.20/x
  3. Step 3: Cross multiply
    491.96x = 678.28 × 429.20
  4. Step 4: Simplify right side
    491.96x = 291,117.78
  5. Step 5: Solve for x
    x = 291,117.78/491.96
  6. Step 6: Final answer
    x = 591.75

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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.