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Finding the Fourth Proportional to 923.79, 1,275.44 and 703.88

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Solution

The fourth proportional to 923.79, 1,275.44 and 703.88 is: 971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.79 : 1,275.44 = 703.88 : x
  2. Step 2: Convert to fraction form
    923.79/1,275.44 = 703.88/x
  3. Step 3: Cross multiply
    923.79x = 1,275.44 × 703.88
  4. Step 4: Simplify right side
    923.79x = 897,746.81
  5. Step 5: Solve for x
    x = 897,746.81/923.79
  6. Step 6: Final answer
    x = 971.81

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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.