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Finding the Fourth Proportional to 1,182.90, 1,632.36 and 659

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Solution

The fourth proportional to 1,182.90, 1,632.36 and 659 is: 909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.90 : 1,632.36 = 659 : x
  2. Step 2: Convert to fraction form
    1,182.90/1,632.36 = 659/x
  3. Step 3: Cross multiply
    1,182.90x = 1,632.36 × 659
  4. Step 4: Simplify right side
    1,182.90x = 1,075,725.24
  5. Step 5: Solve for x
    x = 1,075,725.24/1,182.90
  6. Step 6: Final answer
    x = 909.40

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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.