Home / 1,577.04-2,366.28-808.08

Finding the Fourth Proportional to 1,577.04, 2,366.28 and 808.08

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Solution

The fourth proportional to 1,577.04, 2,366.28 and 808.08 is: 1,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.04 : 2,366.28 = 808.08 : x
  2. Step 2: Convert to fraction form
    1,577.04/2,366.28 = 808.08/x
  3. Step 3: Cross multiply
    1,577.04x = 2,366.28 × 808.08
  4. Step 4: Simplify right side
    1,577.04x = 1,912,143.54
  5. Step 5: Solve for x
    x = 1,912,143.54/1,577.04
  6. Step 6: Final answer
    x = 1,212.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.