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Finding the Fourth Proportional to 1,508.58, 2,263 and 412.94

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Solution

The fourth proportional to 1,508.58, 2,263 and 412.94 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.58 : 2,263 = 412.94 : x
  2. Step 2: Convert to fraction form
    1,508.58/2,263 = 412.94/x
  3. Step 3: Cross multiply
    1,508.58x = 2,263 × 412.94
  4. Step 4: Simplify right side
    1,508.58x = 934,483.22
  5. Step 5: Solve for x
    x = 934,483.22/1,508.58
  6. Step 6: Final answer
    x = 619.45

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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.