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Finding the Fourth Proportional to 718.07, 1,080.74 and 536.42

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Solution

The fourth proportional to 718.07, 1,080.74 and 536.42 is: 807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.07 : 1,080.74 = 536.42 : x
  2. Step 2: Convert to fraction form
    718.07/1,080.74 = 536.42/x
  3. Step 3: Cross multiply
    718.07x = 1,080.74 × 536.42
  4. Step 4: Simplify right side
    718.07x = 579,734.59
  5. Step 5: Solve for x
    x = 579,734.59/718.07
  6. Step 6: Final answer
    x = 807.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.