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Finding the Fourth Proportional to 913.47, 1,253.13 and 857.58

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Solution

The fourth proportional to 913.47, 1,253.13 and 857.58 is: 1,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.47 : 1,253.13 = 857.58 : x
  2. Step 2: Convert to fraction form
    913.47/1,253.13 = 857.58/x
  3. Step 3: Cross multiply
    913.47x = 1,253.13 × 857.58
  4. Step 4: Simplify right side
    913.47x = 1,074,659.23
  5. Step 5: Solve for x
    x = 1,074,659.23/913.47
  6. Step 6: Final answer
    x = 1,176.46

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1.5x scale

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.