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Finding the Fourth Proportional to 1,148.36, 1,722.10 and 417.72

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Solution

The fourth proportional to 1,148.36, 1,722.10 and 417.72 is: 626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.36 : 1,722.10 = 417.72 : x
  2. Step 2: Convert to fraction form
    1,148.36/1,722.10 = 417.72/x
  3. Step 3: Cross multiply
    1,148.36x = 1,722.10 × 417.72
  4. Step 4: Simplify right side
    1,148.36x = 719,355.61
  5. Step 5: Solve for x
    x = 719,355.61/1,148.36
  6. Step 6: Final answer
    x = 626.42

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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.