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Finding the Fourth Proportional to 857.47, 1,175.59 and 841.90

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Solution

The fourth proportional to 857.47, 1,175.59 and 841.90 is: 1,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,175.59 = 841.90 : x
  2. Step 2: Convert to fraction form
    857.47/1,175.59 = 841.90/x
  3. Step 3: Cross multiply
    857.47x = 1,175.59 × 841.90
  4. Step 4: Simplify right side
    857.47x = 989,729.22
  5. Step 5: Solve for x
    x = 989,729.22/857.47
  6. Step 6: Final answer
    x = 1,154.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.