Home / 1,154.28-1,731.30-332.50

Finding the Fourth Proportional to 1,154.28, 1,731.30 and 332.50

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Solution

The fourth proportional to 1,154.28, 1,731.30 and 332.50 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.28 : 1,731.30 = 332.50 : x
  2. Step 2: Convert to fraction form
    1,154.28/1,731.30 = 332.50/x
  3. Step 3: Cross multiply
    1,154.28x = 1,731.30 × 332.50
  4. Step 4: Simplify right side
    1,154.28x = 575,657.25
  5. Step 5: Solve for x
    x = 575,657.25/1,154.28
  6. Step 6: Final answer
    x = 498.72

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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.