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Finding the Fourth Proportional to 1,203.16, 1,804.74 and 509.72

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Solution

The fourth proportional to 1,203.16, 1,804.74 and 509.72 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.16 : 1,804.74 = 509.72 : x
  2. Step 2: Convert to fraction form
    1,203.16/1,804.74 = 509.72/x
  3. Step 3: Cross multiply
    1,203.16x = 1,804.74 × 509.72
  4. Step 4: Simplify right side
    1,203.16x = 919,912.07
  5. Step 5: Solve for x
    x = 919,912.07/1,203.16
  6. Step 6: Final answer
    x = 764.58

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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.