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Finding the Fourth Proportional to 1,084.01, 1,623.98 and 535.55

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Solution

The fourth proportional to 1,084.01, 1,623.98 and 535.55 is: 802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.01 : 1,623.98 = 535.55 : x
  2. Step 2: Convert to fraction form
    1,084.01/1,623.98 = 535.55/x
  3. Step 3: Cross multiply
    1,084.01x = 1,623.98 × 535.55
  4. Step 4: Simplify right side
    1,084.01x = 869,719.81
  5. Step 5: Solve for x
    x = 869,719.81/1,084.01
  6. Step 6: Final answer
    x = 802.32

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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.