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Finding the Fourth Proportional to 1,525.46, 2,288.19 and 485.46

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Solution

The fourth proportional to 1,525.46, 2,288.19 and 485.46 is: 728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.46 : 2,288.19 = 485.46 : x
  2. Step 2: Convert to fraction form
    1,525.46/2,288.19 = 485.46/x
  3. Step 3: Cross multiply
    1,525.46x = 2,288.19 × 485.46
  4. Step 4: Simplify right side
    1,525.46x = 1,110,828.10
  5. Step 5: Solve for x
    x = 1,110,828.10/1,525.46
  6. Step 6: Final answer
    x = 728.19

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Double scale
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Similar ratio
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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.