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Finding the Fourth Proportional to 782.77, 1,080.23 and 428.69

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Solution

The fourth proportional to 782.77, 1,080.23 and 428.69 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.77 : 1,080.23 = 428.69 : x
  2. Step 2: Convert to fraction form
    782.77/1,080.23 = 428.69/x
  3. Step 3: Cross multiply
    782.77x = 1,080.23 × 428.69
  4. Step 4: Simplify right side
    782.77x = 463,083.80
  5. Step 5: Solve for x
    x = 463,083.80/782.77
  6. Step 6: Final answer
    x = 591.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.