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Finding the Fourth Proportional to 841.99, 1,162.43 and 563.15

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Solution

The fourth proportional to 841.99, 1,162.43 and 563.15 is: 777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.99 : 1,162.43 = 563.15 : x
  2. Step 2: Convert to fraction form
    841.99/1,162.43 = 563.15/x
  3. Step 3: Cross multiply
    841.99x = 1,162.43 × 563.15
  4. Step 4: Simplify right side
    841.99x = 654,613.83
  5. Step 5: Solve for x
    x = 654,613.83/841.99
  6. Step 6: Final answer
    x = 777.46

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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.