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Finding the Fourth Proportional to 1,530.56, 2,296.01 and 708.75

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Solution

The fourth proportional to 1,530.56, 2,296.01 and 708.75 is: 1,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.56 : 2,296.01 = 708.75 : x
  2. Step 2: Convert to fraction form
    1,530.56/2,296.01 = 708.75/x
  3. Step 3: Cross multiply
    1,530.56x = 2,296.01 × 708.75
  4. Step 4: Simplify right side
    1,530.56x = 1,627,298.86
  5. Step 5: Solve for x
    x = 1,627,298.86/1,530.56
  6. Step 6: Final answer
    x = 1,063.20

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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.