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Finding the Fourth Proportional to 896.53, 1,237.65 and 602.09

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Solution

The fourth proportional to 896.53, 1,237.65 and 602.09 is: 831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.53 : 1,237.65 = 602.09 : x
  2. Step 2: Convert to fraction form
    896.53/1,237.65 = 602.09/x
  3. Step 3: Cross multiply
    896.53x = 1,237.65 × 602.09
  4. Step 4: Simplify right side
    896.53x = 745,176.69
  5. Step 5: Solve for x
    x = 745,176.69/896.53
  6. Step 6: Final answer
    x = 831.18

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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.