Home / 1,288.54-1,931.19-924.04

Finding the Fourth Proportional to 1,288.54, 1,931.19 and 924.04

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Solution

The fourth proportional to 1,288.54, 1,931.19 and 924.04 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.54 : 1,931.19 = 924.04 : x
  2. Step 2: Convert to fraction form
    1,288.54/1,931.19 = 924.04/x
  3. Step 3: Cross multiply
    1,288.54x = 1,931.19 × 924.04
  4. Step 4: Simplify right side
    1,288.54x = 1,784,496.81
  5. Step 5: Solve for x
    x = 1,784,496.81/1,288.54
  6. Step 6: Final answer
    x = 1,384.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.