Home / 1,157.20-1,597.80-808.36

Finding the Fourth Proportional to 1,157.20, 1,597.80 and 808.36

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Solution

The fourth proportional to 1,157.20, 1,597.80 and 808.36 is: 1,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.20 : 1,597.80 = 808.36 : x
  2. Step 2: Convert to fraction form
    1,157.20/1,597.80 = 808.36/x
  3. Step 3: Cross multiply
    1,157.20x = 1,597.80 × 808.36
  4. Step 4: Simplify right side
    1,157.20x = 1,291,597.61
  5. Step 5: Solve for x
    x = 1,291,597.61/1,157.20
  6. Step 6: Final answer
    x = 1,116.14

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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.