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Finding the Fourth Proportional to 1,003.49, 1,504.17 and 386.93

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Solution

The fourth proportional to 1,003.49, 1,504.17 and 386.93 is: 579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.49 : 1,504.17 = 386.93 : x
  2. Step 2: Convert to fraction form
    1,003.49/1,504.17 = 386.93/x
  3. Step 3: Cross multiply
    1,003.49x = 1,504.17 × 386.93
  4. Step 4: Simplify right side
    1,003.49x = 582,008.50
  5. Step 5: Solve for x
    x = 582,008.50/1,003.49
  6. Step 6: Final answer
    x = 579.98

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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.