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Finding the Fourth Proportional to 808.93, 1,115.90 and 525.74

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Solution

The fourth proportional to 808.93, 1,115.90 and 525.74 is: 725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.93 : 1,115.90 = 525.74 : x
  2. Step 2: Convert to fraction form
    808.93/1,115.90 = 525.74/x
  3. Step 3: Cross multiply
    808.93x = 1,115.90 × 525.74
  4. Step 4: Simplify right side
    808.93x = 586,674.58
  5. Step 5: Solve for x
    x = 586,674.58/808.93
  6. Step 6: Final answer
    x = 725.25

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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.