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Finding the Fourth Proportional to 1,870.50, 2,805.68 and 554.20

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Solution

The fourth proportional to 1,870.50, 2,805.68 and 554.20 is: 831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.50 : 2,805.68 = 554.20 : x
  2. Step 2: Convert to fraction form
    1,870.50/2,805.68 = 554.20/x
  3. Step 3: Cross multiply
    1,870.50x = 2,805.68 × 554.20
  4. Step 4: Simplify right side
    1,870.50x = 1,554,905.09
  5. Step 5: Solve for x
    x = 1,554,905.09/1,870.50
  6. Step 6: Final answer
    x = 831.28

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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.