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Finding the Fourth Proportional to 857.34, 1,182.06 and 811.17

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Solution

The fourth proportional to 857.34, 1,182.06 and 811.17 is: 1,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.34 : 1,182.06 = 811.17 : x
  2. Step 2: Convert to fraction form
    857.34/1,182.06 = 811.17/x
  3. Step 3: Cross multiply
    857.34x = 1,182.06 × 811.17
  4. Step 4: Simplify right side
    857.34x = 958,851.61
  5. Step 5: Solve for x
    x = 958,851.61/857.34
  6. Step 6: Final answer
    x = 1,118.40

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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.