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Finding the Fourth Proportional to 661.46, 911.98 and 424.99

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Solution

The fourth proportional to 661.46, 911.98 and 424.99 is: 585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.46 : 911.98 = 424.99 : x
  2. Step 2: Convert to fraction form
    661.46/911.98 = 424.99/x
  3. Step 3: Cross multiply
    661.46x = 911.98 × 424.99
  4. Step 4: Simplify right side
    661.46x = 387,582.38
  5. Step 5: Solve for x
    x = 387,582.38/661.46
  6. Step 6: Final answer
    x = 585.95

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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.