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Finding the Fourth Proportional to 782.60, 1,173.51 and 288.63

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Solution

The fourth proportional to 782.60, 1,173.51 and 288.63 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.60 : 1,173.51 = 288.63 : x
  2. Step 2: Convert to fraction form
    782.60/1,173.51 = 288.63/x
  3. Step 3: Cross multiply
    782.60x = 1,173.51 × 288.63
  4. Step 4: Simplify right side
    782.60x = 338,710.19
  5. Step 5: Solve for x
    x = 338,710.19/782.60
  6. Step 6: Final answer
    x = 432.80

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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.