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Finding the Fourth Proportional to 1,117.09, 1,541.55 and 619.74

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Solution

The fourth proportional to 1,117.09, 1,541.55 and 619.74 is: 855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.09 : 1,541.55 = 619.74 : x
  2. Step 2: Convert to fraction form
    1,117.09/1,541.55 = 619.74/x
  3. Step 3: Cross multiply
    1,117.09x = 1,541.55 × 619.74
  4. Step 4: Simplify right side
    1,117.09x = 955,352.49
  5. Step 5: Solve for x
    x = 955,352.49/1,117.09
  6. Step 6: Final answer
    x = 855.22

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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.