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Finding the Fourth Proportional to 1,153.48, 1,730.14 and 287.80

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Solution

The fourth proportional to 1,153.48, 1,730.14 and 287.80 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.48 : 1,730.14 = 287.80 : x
  2. Step 2: Convert to fraction form
    1,153.48/1,730.14 = 287.80/x
  3. Step 3: Cross multiply
    1,153.48x = 1,730.14 × 287.80
  4. Step 4: Simplify right side
    1,153.48x = 497,934.29
  5. Step 5: Solve for x
    x = 497,934.29/1,153.48
  6. Step 6: Final answer
    x = 431.68

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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.