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Finding the Fourth Proportional to 646.42, 891.12 and 424.99

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Solution

The fourth proportional to 646.42, 891.12 and 424.99 is: 585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 891.12 = 424.99 : x
  2. Step 2: Convert to fraction form
    646.42/891.12 = 424.99/x
  3. Step 3: Cross multiply
    646.42x = 891.12 × 424.99
  4. Step 4: Simplify right side
    646.42x = 378,717.09
  5. Step 5: Solve for x
    x = 378,717.09/646.42
  6. Step 6: Final answer
    x = 585.87

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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.