Home / 1,042.25-1,563.58-465.13

Finding the Fourth Proportional to 1,042.25, 1,563.58 and 465.13

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Solution

The fourth proportional to 1,042.25, 1,563.58 and 465.13 is: 697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.25 : 1,563.58 = 465.13 : x
  2. Step 2: Convert to fraction form
    1,042.25/1,563.58 = 465.13/x
  3. Step 3: Cross multiply
    1,042.25x = 1,563.58 × 465.13
  4. Step 4: Simplify right side
    1,042.25x = 727,267.97
  5. Step 5: Solve for x
    x = 727,267.97/1,042.25
  6. Step 6: Final answer
    x = 697.79

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Half scale
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Double scale
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1.5x scale

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.