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Finding the Fourth Proportional to 782.68, 1,080.38 and 520.76

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Solution

The fourth proportional to 782.68, 1,080.38 and 520.76 is: 718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.68 : 1,080.38 = 520.76 : x
  2. Step 2: Convert to fraction form
    782.68/1,080.38 = 520.76/x
  3. Step 3: Cross multiply
    782.68x = 1,080.38 × 520.76
  4. Step 4: Simplify right side
    782.68x = 562,618.69
  5. Step 5: Solve for x
    x = 562,618.69/782.68
  6. Step 6: Final answer
    x = 718.84

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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.