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Finding the Fourth Proportional to 1,084.19, 1,627.09 and 870.35

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Solution

The fourth proportional to 1,084.19, 1,627.09 and 870.35 is: 1,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.19 : 1,627.09 = 870.35 : x
  2. Step 2: Convert to fraction form
    1,084.19/1,627.09 = 870.35/x
  3. Step 3: Cross multiply
    1,084.19x = 1,627.09 × 870.35
  4. Step 4: Simplify right side
    1,084.19x = 1,416,127.47
  5. Step 5: Solve for x
    x = 1,416,127.47/1,084.19
  6. Step 6: Final answer
    x = 1,306.17

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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.