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Finding the Fourth Proportional to 811.86, 1,122.14 and 592.35

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Solution

The fourth proportional to 811.86, 1,122.14 and 592.35 is: 818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.86 : 1,122.14 = 592.35 : x
  2. Step 2: Convert to fraction form
    811.86/1,122.14 = 592.35/x
  3. Step 3: Cross multiply
    811.86x = 1,122.14 × 592.35
  4. Step 4: Simplify right side
    811.86x = 664,699.63
  5. Step 5: Solve for x
    x = 664,699.63/811.86
  6. Step 6: Final answer
    x = 818.74

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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.