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Finding the Fourth Proportional to 1,513.33, 2,269.95 and 417.76

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Solution

The fourth proportional to 1,513.33, 2,269.95 and 417.76 is: 626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.33 : 2,269.95 = 417.76 : x
  2. Step 2: Convert to fraction form
    1,513.33/2,269.95 = 417.76/x
  3. Step 3: Cross multiply
    1,513.33x = 2,269.95 × 417.76
  4. Step 4: Simplify right side
    1,513.33x = 948,294.31
  5. Step 5: Solve for x
    x = 948,294.31/1,513.33
  6. Step 6: Final answer
    x = 626.63

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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.