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Finding the Fourth Proportional to 1,022.51, 1,410.98 and 602.87

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Solution

The fourth proportional to 1,022.51, 1,410.98 and 602.87 is: 831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.51 : 1,410.98 = 602.87 : x
  2. Step 2: Convert to fraction form
    1,022.51/1,410.98 = 602.87/x
  3. Step 3: Cross multiply
    1,022.51x = 1,410.98 × 602.87
  4. Step 4: Simplify right side
    1,022.51x = 850,627.44
  5. Step 5: Solve for x
    x = 850,627.44/1,022.51
  6. Step 6: Final answer
    x = 831.90

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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.