Home / 1,055.52-1,583.20-286.08

Finding the Fourth Proportional to 1,055.52, 1,583.20 and 286.08

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Solution

The fourth proportional to 1,055.52, 1,583.20 and 286.08 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.52 : 1,583.20 = 286.08 : x
  2. Step 2: Convert to fraction form
    1,055.52/1,583.20 = 286.08/x
  3. Step 3: Cross multiply
    1,055.52x = 1,583.20 × 286.08
  4. Step 4: Simplify right side
    1,055.52x = 452,921.86
  5. Step 5: Solve for x
    x = 452,921.86/1,055.52
  6. Step 6: Final answer
    x = 429.10

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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.