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Finding the Fourth Proportional to 782.68, 1,080.34 and 503.68

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Solution

The fourth proportional to 782.68, 1,080.34 and 503.68 is: 695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.68 : 1,080.34 = 503.68 : x
  2. Step 2: Convert to fraction form
    782.68/1,080.34 = 503.68/x
  3. Step 3: Cross multiply
    782.68x = 1,080.34 × 503.68
  4. Step 4: Simplify right side
    782.68x = 544,145.65
  5. Step 5: Solve for x
    x = 544,145.65/782.68
  6. Step 6: Final answer
    x = 695.23

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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.