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Finding the Fourth Proportional to 1,084.16, 1,627.68 and 646.22

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Solution

The fourth proportional to 1,084.16, 1,627.68 and 646.22 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.16 : 1,627.68 = 646.22 : x
  2. Step 2: Convert to fraction form
    1,084.16/1,627.68 = 646.22/x
  3. Step 3: Cross multiply
    1,084.16x = 1,627.68 × 646.22
  4. Step 4: Simplify right side
    1,084.16x = 1,051,839.37
  5. Step 5: Solve for x
    x = 1,051,839.37/1,084.16
  6. Step 6: Final answer
    x = 970.19

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1.5x scale

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.