Home / 1,288.29-1,931.13-508.84

Finding the Fourth Proportional to 1,288.29, 1,931.13 and 508.84

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Solution

The fourth proportional to 1,288.29, 1,931.13 and 508.84 is: 762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.29 : 1,931.13 = 508.84 : x
  2. Step 2: Convert to fraction form
    1,288.29/1,931.13 = 508.84/x
  3. Step 3: Cross multiply
    1,288.29x = 1,931.13 × 508.84
  4. Step 4: Simplify right side
    1,288.29x = 982,636.19
  5. Step 5: Solve for x
    x = 982,636.19/1,288.29
  6. Step 6: Final answer
    x = 762.74

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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.