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Finding the Fourth Proportional to 1,530.58, 2,296.28 and 556.83

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Solution

The fourth proportional to 1,530.58, 2,296.28 and 556.83 is: 835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.58 : 2,296.28 = 556.83 : x
  2. Step 2: Convert to fraction form
    1,530.58/2,296.28 = 556.83/x
  3. Step 3: Cross multiply
    1,530.58x = 2,296.28 × 556.83
  4. Step 4: Simplify right side
    1,530.58x = 1,278,637.59
  5. Step 5: Solve for x
    x = 1,278,637.59/1,530.58
  6. Step 6: Final answer
    x = 835.39

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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.