Home / 1,154.21-1,731.29-288.52

Finding the Fourth Proportional to 1,154.21, 1,731.29 and 288.52

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Solution

The fourth proportional to 1,154.21, 1,731.29 and 288.52 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.21 : 1,731.29 = 288.52 : x
  2. Step 2: Convert to fraction form
    1,154.21/1,731.29 = 288.52/x
  3. Step 3: Cross multiply
    1,154.21x = 1,731.29 × 288.52
  4. Step 4: Simplify right side
    1,154.21x = 499,510.35
  5. Step 5: Solve for x
    x = 499,510.35/1,154.21
  6. Step 6: Final answer
    x = 432.77

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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.