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Finding the Fourth Proportional to 1,022.61, 1,525.61 and 839.45

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Solution

The fourth proportional to 1,022.61, 1,525.61 and 839.45 is: 1,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.61 : 1,525.61 = 839.45 : x
  2. Step 2: Convert to fraction form
    1,022.61/1,525.61 = 839.45/x
  3. Step 3: Cross multiply
    1,022.61x = 1,525.61 × 839.45
  4. Step 4: Simplify right side
    1,022.61x = 1,280,673.31
  5. Step 5: Solve for x
    x = 1,280,673.31/1,022.61
  6. Step 6: Final answer
    x = 1,252.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.