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Finding the Fourth Proportional to 1,424.63, 1,966.25 and 835.16

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Solution

The fourth proportional to 1,424.63, 1,966.25 and 835.16 is: 1,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.63 : 1,966.25 = 835.16 : x
  2. Step 2: Convert to fraction form
    1,424.63/1,966.25 = 835.16/x
  3. Step 3: Cross multiply
    1,424.63x = 1,966.25 × 835.16
  4. Step 4: Simplify right side
    1,424.63x = 1,642,134.32
  5. Step 5: Solve for x
    x = 1,642,134.32/1,424.63
  6. Step 6: Final answer
    x = 1,152.68

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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.