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Finding the Fourth Proportional to 808.35, 1,116.28 and 525.26

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Solution

The fourth proportional to 808.35, 1,116.28 and 525.26 is: 725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.35 : 1,116.28 = 525.26 : x
  2. Step 2: Convert to fraction form
    808.35/1,116.28 = 525.26/x
  3. Step 3: Cross multiply
    808.35x = 1,116.28 × 525.26
  4. Step 4: Simplify right side
    808.35x = 586,337.23
  5. Step 5: Solve for x
    x = 586,337.23/808.35
  6. Step 6: Final answer
    x = 725.35

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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.