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Finding the Fourth Proportional to 1,003.02, 1,504.47 and 387.01

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Solution

The fourth proportional to 1,003.02, 1,504.47 and 387.01 is: 580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.02 : 1,504.47 = 387.01 : x
  2. Step 2: Convert to fraction form
    1,003.02/1,504.47 = 387.01/x
  3. Step 3: Cross multiply
    1,003.02x = 1,504.47 × 387.01
  4. Step 4: Simplify right side
    1,003.02x = 582,244.93
  5. Step 5: Solve for x
    x = 582,244.93/1,003.02
  6. Step 6: Final answer
    x = 580.49

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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.