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Finding the Fourth Proportional to 1,084.26, 1,626.64 and 435.06

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Solution

The fourth proportional to 1,084.26, 1,626.64 and 435.06 is: 652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.26 : 1,626.64 = 435.06 : x
  2. Step 2: Convert to fraction form
    1,084.26/1,626.64 = 435.06/x
  3. Step 3: Cross multiply
    1,084.26x = 1,626.64 × 435.06
  4. Step 4: Simplify right side
    1,084.26x = 707,686.00
  5. Step 5: Solve for x
    x = 707,686.00/1,084.26
  6. Step 6: Final answer
    x = 652.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.