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Finding the Fourth Proportional to 1,048.25, 1,572.57 and 345.50

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Solution

The fourth proportional to 1,048.25, 1,572.57 and 345.50 is: 518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.25 : 1,572.57 = 345.50 : x
  2. Step 2: Convert to fraction form
    1,048.25/1,572.57 = 345.50/x
  3. Step 3: Cross multiply
    1,048.25x = 1,572.57 × 345.50
  4. Step 4: Simplify right side
    1,048.25x = 543,322.94
  5. Step 5: Solve for x
    x = 543,322.94/1,048.25
  6. Step 6: Final answer
    x = 518.31

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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.