Home / 1,154.48-1,731.64-288.80

Finding the Fourth Proportional to 1,154.48, 1,731.64 and 288.80

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Solution

The fourth proportional to 1,154.48, 1,731.64 and 288.80 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.48 : 1,731.64 = 288.80 : x
  2. Step 2: Convert to fraction form
    1,154.48/1,731.64 = 288.80/x
  3. Step 3: Cross multiply
    1,154.48x = 1,731.64 × 288.80
  4. Step 4: Simplify right side
    1,154.48x = 500,097.63
  5. Step 5: Solve for x
    x = 500,097.63/1,154.48
  6. Step 6: Final answer
    x = 433.18

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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.