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Finding the Fourth Proportional to 1,116.90, 1,541.33 and 619.55

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Solution

The fourth proportional to 1,116.90, 1,541.33 and 619.55 is: 854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.90 : 1,541.33 = 619.55 : x
  2. Step 2: Convert to fraction form
    1,116.90/1,541.33 = 619.55/x
  3. Step 3: Cross multiply
    1,116.90x = 1,541.33 × 619.55
  4. Step 4: Simplify right side
    1,116.90x = 954,924.84
  5. Step 5: Solve for x
    x = 954,924.84/1,116.90
  6. Step 6: Final answer
    x = 854.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.