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Finding the Fourth Proportional to 923.79, 1,275.43 and 713.60

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Solution

The fourth proportional to 923.79, 1,275.43 and 713.60 is: 985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.79 : 1,275.43 = 713.60 : x
  2. Step 2: Convert to fraction form
    923.79/1,275.43 = 713.60/x
  3. Step 3: Cross multiply
    923.79x = 1,275.43 × 713.60
  4. Step 4: Simplify right side
    923.79x = 910,146.85
  5. Step 5: Solve for x
    x = 910,146.85/923.79
  6. Step 6: Final answer
    x = 985.23

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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.