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Finding the Fourth Proportional to 1,116.68, 1,542.48 and 856.04

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Solution

The fourth proportional to 1,116.68, 1,542.48 and 856.04 is: 1,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.68 : 1,542.48 = 856.04 : x
  2. Step 2: Convert to fraction form
    1,116.68/1,542.48 = 856.04/x
  3. Step 3: Cross multiply
    1,116.68x = 1,542.48 × 856.04
  4. Step 4: Simplify right side
    1,116.68x = 1,320,424.58
  5. Step 5: Solve for x
    x = 1,320,424.58/1,116.68
  6. Step 6: Final answer
    x = 1,182.46

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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.