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Finding the Fourth Proportional to 491.76, 678.72 and 412.98

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Solution

The fourth proportional to 491.76, 678.72 and 412.98 is: 569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 678.72 = 412.98 : x
  2. Step 2: Convert to fraction form
    491.76/678.72 = 412.98/x
  3. Step 3: Cross multiply
    491.76x = 678.72 × 412.98
  4. Step 4: Simplify right side
    491.76x = 280,297.79
  5. Step 5: Solve for x
    x = 280,297.79/491.76
  6. Step 6: Final answer
    x = 569.99

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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.