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Finding the Fourth Proportional to 899.93, 1,242.13 and 601.18

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Solution

The fourth proportional to 899.93, 1,242.13 and 601.18 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.93 : 1,242.13 = 601.18 : x
  2. Step 2: Convert to fraction form
    899.93/1,242.13 = 601.18/x
  3. Step 3: Cross multiply
    899.93x = 1,242.13 × 601.18
  4. Step 4: Simplify right side
    899.93x = 746,743.71
  5. Step 5: Solve for x
    x = 746,743.71/899.93
  6. Step 6: Final answer
    x = 829.78

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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.