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Finding the Fourth Proportional to 842.99, 1,262.86 and 410.45

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Solution

The fourth proportional to 842.99, 1,262.86 and 410.45 is: 614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.99 : 1,262.86 = 410.45 : x
  2. Step 2: Convert to fraction form
    842.99/1,262.86 = 410.45/x
  3. Step 3: Cross multiply
    842.99x = 1,262.86 × 410.45
  4. Step 4: Simplify right side
    842.99x = 518,340.89
  5. Step 5: Solve for x
    x = 518,340.89/842.99
  6. Step 6: Final answer
    x = 614.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.