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Finding the Fourth Proportional to 811.05, 1,118.93 and 562.58

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Solution

The fourth proportional to 811.05, 1,118.93 and 562.58 is: 776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.05 : 1,118.93 = 562.58 : x
  2. Step 2: Convert to fraction form
    811.05/1,118.93 = 562.58/x
  3. Step 3: Cross multiply
    811.05x = 1,118.93 × 562.58
  4. Step 4: Simplify right side
    811.05x = 629,479.23
  5. Step 5: Solve for x
    x = 629,479.23/811.05
  6. Step 6: Final answer
    x = 776.13

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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.