Home / 1,513.15-2,269.74-417.57

Finding the Fourth Proportional to 1,513.15, 2,269.74 and 417.57

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Solution

The fourth proportional to 1,513.15, 2,269.74 and 417.57 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.15 : 2,269.74 = 417.57 : x
  2. Step 2: Convert to fraction form
    1,513.15/2,269.74 = 417.57/x
  3. Step 3: Cross multiply
    1,513.15x = 2,269.74 × 417.57
  4. Step 4: Simplify right side
    1,513.15x = 947,783.84
  5. Step 5: Solve for x
    x = 947,783.84/1,513.15
  6. Step 6: Final answer
    x = 626.36

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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.