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Finding the Fourth Proportional to 648.60, 895.14 and 399.96

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Solution

The fourth proportional to 648.60, 895.14 and 399.96 is: 551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 895.14 = 399.96 : x
  2. Step 2: Convert to fraction form
    648.60/895.14 = 399.96/x
  3. Step 3: Cross multiply
    648.60x = 895.14 × 399.96
  4. Step 4: Simplify right side
    648.60x = 358,020.19
  5. Step 5: Solve for x
    x = 358,020.19/648.60
  6. Step 6: Final answer
    x = 551.99

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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.