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Finding the Fourth Proportional to 1,202.07, 1,803.65 and 509.25

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Solution

The fourth proportional to 1,202.07, 1,803.65 and 509.25 is: 764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.07 : 1,803.65 = 509.25 : x
  2. Step 2: Convert to fraction form
    1,202.07/1,803.65 = 509.25/x
  3. Step 3: Cross multiply
    1,202.07x = 1,803.65 × 509.25
  4. Step 4: Simplify right side
    1,202.07x = 918,506.22
  5. Step 5: Solve for x
    x = 918,506.22/1,202.07
  6. Step 6: Final answer
    x = 764.10

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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.