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Finding the Fourth Proportional to 1,148.24, 1,723.04 and 417.87

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Solution

The fourth proportional to 1,148.24, 1,723.04 and 417.87 is: 627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.24 : 1,723.04 = 417.87 : x
  2. Step 2: Convert to fraction form
    1,148.24/1,723.04 = 417.87/x
  3. Step 3: Cross multiply
    1,148.24x = 1,723.04 × 417.87
  4. Step 4: Simplify right side
    1,148.24x = 720,006.72
  5. Step 5: Solve for x
    x = 720,006.72/1,148.24
  6. Step 6: Final answer
    x = 627.05

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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.