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Finding the Fourth Proportional to 1,116.84, 1,541.03 and 718.63

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Solution

The fourth proportional to 1,116.84, 1,541.03 and 718.63 is: 991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.84 : 1,541.03 = 718.63 : x
  2. Step 2: Convert to fraction form
    1,116.84/1,541.03 = 718.63/x
  3. Step 3: Cross multiply
    1,116.84x = 1,541.03 × 718.63
  4. Step 4: Simplify right side
    1,116.84x = 1,107,422.94
  5. Step 5: Solve for x
    x = 1,107,422.94/1,116.84
  6. Step 6: Final answer
    x = 991.56

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1.5x scale

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.