Home / 1,154.60-1,731.94-288.96

Finding the Fourth Proportional to 1,154.60, 1,731.94 and 288.96

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Solution

The fourth proportional to 1,154.60, 1,731.94 and 288.96 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.60 : 1,731.94 = 288.96 : x
  2. Step 2: Convert to fraction form
    1,154.60/1,731.94 = 288.96/x
  3. Step 3: Cross multiply
    1,154.60x = 1,731.94 × 288.96
  4. Step 4: Simplify right side
    1,154.60x = 500,461.38
  5. Step 5: Solve for x
    x = 500,461.38/1,154.60
  6. Step 6: Final answer
    x = 433.45

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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.